Most innovators and brilliant people use their own experience to build on the work of others. They either see the same data differently or use it in new ways, or use it effectively for the first time. In warfare, science, sports, etc. very few brilliant ideas spring "full grown from the head of Zeus". Alexander used his father's army to great effectiveness.
All I'm saying is that without Napoleon coming to power when he did, it's still perfectly possible that the innovations that he brought about would have come sooner or later. He was not the only reason for the change in fighting style during the period by far
Napoleon raised the bar for judging army leaders
Then lowered it again
And certainly he declined (mostly) and his oponents (and their armies and army organization) got better after 1807. If they hadn't improved Europe would be different. Most geniues do their best work early.
That's the thing, along with his lack of thought after that date, he also lacked the will or ability to realise that others had responded to his tactics and that he, and his army needed to also respond. Ney and Soult could (and probably did) tell him that the style of assault that Napoleon ordered at Waterloo would never shift British regulars but he failed to adapt to the fact that other commanders had adapted to him.
Plus some of his opponents were still failing to get used to him in 1815 and the like. The sensible British tactic of sheltering behind ridges to protect the infantry from the typical Napoleonic grand battery attacks never seemed to get adopted by anyone else. Wellington seeing Blucher's dispositions at Lingy knew he would be mauled and told him so, still though Blucher refused. Just as Napoleon and his French armies had yet to adapt to the fact that the British tactic all but negated the effects of their grand barrages.
Or that Waterloo would have been different if Davout had been there. Davout wasn't there and Charles wasn't at Ulm in 1805.
That's the point of what if's
Charles did have four years to learn and prepare for 1809
To be fair, charles was already showing big promise in some of the previous campaigns on the rhine I think when Napoleon was in Italy, his talent was present from the start and didn't totally rely on the 4 years of experience after 1805. I grant you that his tactical innovations before 1809 relied much on their experiences in 1805, but Charles alone being the commander at Ulm would have significantly changed the campaign.
I'm not sure where Gen Mack was in 1809, but I suspect that even he would have performed better in 1809.
Sitting in an Austrian jail IIRC. I know he was tried for his actions in the campaign and sentenced to death, only for the emperor to reduce it later. However, given his timid nature, his tendency to live in a fantasy world (during 1805 he thought the British invaded France!) and his sheer lack of will to listen to his subordinates I doubt he would have been any good in 1809. He's the Napoleonic wars equivalent of McCellan.
Even tho the French army showed great grand tactical skill at Austerlitz, the campaign was won early on at the strategic level.
Only by Mack sitting in Ulm and refusing to contemplate anything else. Any half competent commander at Ulm would have siezed the chances Napoleon still gave mack to retreat to defend the danube crossings and vienna and force a similar situation in 1805 as there was in 1809. Only this time, the French would have lacked numbers to pull it out the bag. I don't for a moment doubt that Napoleon might have still adapted his plans, but the fighting would have been much harder, and the result much less of a certain one
As for the sports example, lost me there, I don't follow american football

However, as I said, Napoleon's army often failed to adapt to others countering their tactics. The army of 1815 and Napoleon himself were still in the main using the same theories they had used for 7 years against the British, it had never worked before, it's baffling that they presumed it would work then.
Does this position raise or lower your view of Hannibal, Caesar and Alexander?
Don't know enough about the campaigns of them all to say either way. What it does do though is make me think that Wellington was a much superior general to Napoleon. Unlike Napoleon he won every one of his battles and fought most of them against what was considered the finest army in europe at the time, lead by some of the armies finest marshals (Marmont, Ney, Soult). Napoleon running rings round Mack at Ulm is an achievement, but had he done the same round Charles or Wellington, that would be brilliant. Wellington beating Junot is not as much of an achievement (to me) as beating Marmont for example.
Were their opponents all really bad or did they just look that way in the in the "brilliant light of genius."
Depends on the other factors influencing them. Mack was really bad, put up against anyone capable of some fast marching and good strategy and you could fool him and force him into timidity. Marmont failed in the penninsula against Wellington, but Wellington only suceeded by using every bit of brilliance he had and waiting for the opportune moment to attack (ie when one of marmont's subordinates made a mistake). Therefore Marmont's defeat doesn't lessen his ability as he stood an equal chance of winning and was showing considerable talent in the face of a brilliant enemy.
I would suggest that without Napoleon's genius, warfare in the period would have been lackluster and of little note and few if any generals would have a significant place in history
Only because the others would have no reason to be fighting. Pleanty of other generals surpassed Napoleon in either record or talent, but Napoleon being the dictator and self publicisor that he was always gets the accolades.
Imagine you were Docturov at Austerlitz or Hohenlohe at Jena? Or better yet Brunswick at Auerstadt. I suspect they were in awe of his skill as much as they hated him and feared his armies.
Hence half the problem. Too many continental generals were afraid of what Napoleon could do as opposed to what he was actually doing and after 1807 even capable of doing. Too many armies were more scared of the image of French columns and the effects of grand batteries than anything else. Not some though, the British didn't run from either in the main. Reputation meant a lot, but after 1807 Napoleon and the french frequently failed to live up to it.
As for the whole domination of europe/hegemony over the other countries, the truth is that it was always destined to fail. The continental powers would never accept France being the de facto ruler of Europe, Britain would never accept one country dominating europe's trade. Napoleon, by aiming to bring Europe under one ruler (with his marshals and brothers ruling the territories, so much for democracy...) doomed himself to destruction by failing to understand what motivated the rest of the continent. Most of the continent could have lived with an imperial france that was contained, they couldn't live with an imperial or even royalist france that ruled or dominated europe.