For tactics, the rigging was the most vulnerable par of a ship, and the easiest way to cripple a vessel, if you could hit it.
Overall the French were playing catch-up, and Napoleon had little experience, skill, or likely desire for naval warfare, he only cared about getting to Britain, and when that wasn't viable in the short term he found other uses for his resources.
While the French Empire could have remained in control of the continent for quite a while (perhaps until Napoleon's reign ended) and perhaps survived in France with different results from Russia, I don't see long-term French dominance outside Western Europe.
The Austrians, Russians, and Prussians would have rose up any chance they got, not to mentioned various other smaller states and people. The British would have taken a long time before giving up and jumped at any opportunity to take down France, and the French were not going to get Portugal (insane defensive positions and an inability of the land to support any large army). And Napoleon lacked any inclination to actually make a large fleet (and had little chance to make it effective)to threaten Britain and its qualities.
For an empire built on warfare, it would need to find a new enemy or it would likely fall apart fighting itself, napoleon doesn't seem to prevent that.
Really, vastly different outcome better results in 1812, but I don't see any greater lasting French influence in the rest of Europe, or dominance even without Britain.
The most interesting difference may have been Poland, if it had survived long enough to become accepted before France fell, if that was possible.