TIE Interceptors are faster than stock TIE Fighters, and they have double the firepower. Speed is good for rushing through these obstacle courses if you're running out of time, but not so much for accuracy. Playing with power settings between chambers is fine, but the key is to decelerate enough to hit the closest targets, then accelerate when you have a handle on all the telemetry.
The firing spread is much different in the Interceptor than in the standard TIE, which can throw your aim off (note my poor performance on the first couple of rooms), but there's plenty of power to spare for dual cannons (fire linked quad cannons is probably overkill).
I enjoy flying Interceptors in practically all these games, but you're still an unshielded target that's probably going to get shot down before the TIEs behind you, so the best defense is a good offense, along with corkscrew rolls.