That's a lot of "versus!"
Sorry, but the 338-06 AI is not astounding, at least, if it is being compared to the basic 338-06. In that cartridge case, as well as the 35 Whelen vs 35 WAI (which I own), the added velocity at the same pressures is about 1%. (case capacity goes up about 3-4%, the 4:1 rule tells us - as does testing - that equals about 1% more velocity).
I'm not sure what you mean by "drop and power", but I assume you mean the trajectory and KE. It's hard to say which is absolute best because sometimes drop and power are "crossing lines" on a graph, and one's purpose must be better defined.
I own one 35 Whelen AI, one 9.3x62, and two 338-06. "Strictly from a hunting perspective", up through elk, I don't think the critter is going to tell the difference. As critters get bigger, the bigger bullets are going to start having an advantage.
None of this may mean anything on a "Long Range Hunting" perspective, but none of these are really long range rounds.
I will say one thing in favor of the .35 Whelen. There are some new data published in the last few years with PP 2000-MR, and CFE-223, that are real game changers in the Whelen. The .338-06 and 9.3 do not have this benefit, though. A 35 Whelen with a 14 inch or less twist can really do some good work with heavier than 250 grain bullets and give the 9.3 a real challenge. Load the 9.3 to the same level though and use 286 grain, and higher weights, and you're in country that those other rounds can't touch.
So I didn't give you any "hard numbers" there. Here are some from my 23", 14" twist, 35 WAI. These are all tested in my rifle.
Cheers,
Rex