Phrederick
Warlord
This illustrates the earlier point - decisions which are dominated are not options. I cannot imagine a set of goals that is not aided by burning through the tech tree aggressively at the expense of immediate term production.
Here's some goals that are not aided by burning through the tree aggressively:
Using a given UU. It sucks to get Civil Service early when playing Persia, because it means you don't get to build a bunch of Immortals. Although I've never played Japan, I probably won't prioritize Rifling until my rivals have it, to maximize my Samurai window.
Building lots of wonders. Granted, wonders are easier to build once you have a 5-10+ tech advantage, but that won't help with the per-Renaissance wonders, which can be lots of fun to have.
Achieving constant Golden Age as Persia. That's uncoupled from tech rate once you can build Taj Mahal. Perhaps even negatively correlated, since it means fewer GSs to bulb, as you'll need a lot of Great People for golden ages.
Having an army that includes, say, 4 logistics/range cannon, 6 medic/march longswordsmen, on a small map, by the time you hit rifling/artillery. I really enjoy having highly promoted units, which is why I'll sometimes choose the Honor tree even though it may slow down my win time. And frequent warring doesn't require a fast tech rate; it only requires a proportional tech rate, and on non-Deity difficulties, that's not necessarily all that fast.
I think your perspective is that the only worthwhile goal is to win fast. That's fine. It's not everyone's perspective.