actually not according to the developers and the playtesters. the fighters are not copies of each other, the way they are in Battlefront II, instead being lore friendly (TIES lacking shields for example)
At least one video (had gotten to play the game) i watched indicated that, ignoring the shield and resulting power management differences, the fighters are "identical". Admittedly the statement was vague, i interpreted it meaning corresponding ships would be identical (eg X-wing/TIE Fighter and Y-wing/TIE Bomber).
The interviews are older and pretty general so i'm taking stuff in them with grain of salt. Yes, TIEs lack shields and have stronger hull than it should have in canon for compensation, but that doesn't address maneuverability or other similar stats that aren't obvious. I suppose it is possible the game's well enough balanced the player hadn't noticed the ships differing more.
I'll check the vid you linked though.
EDIT Too much talk about Battlefront II, bleh. Anyway, this guy did seem to have noticed differences, especially noted TIE Interceptor and A-wing, so OK. But i suspect the differences aren't exactly canon, as games always take liberties with stuff for sake of necessity. Old X-wing Alliance comes to mind, where the TIE Defender wasn't as good as it was (old-)canonically for sake of better gameplay.
Oh, and this weirdly reminds me of the Rebel Y-wing being something of a joke ship in online communities (at least as far as i've observed) yet in Return of the Jedi we see one chasing down a TIE Interceptor and shooting it.
Can't wait to fly one in Star Wars Squadrons, my favorite good-guy ship.
EDIT Duh, i just realized the gameplay trailer actually shows bar graphs of baseline differences. The TIE/LN for example shows greater speed than the X-wing.
Hmph, must've watched a bad video, come to think of it the guy was rambling a bit...