As a splatoon player, starfox zero's usage of the gyro and screens took some getting used to. The gyro aiming is a little more dramatic, turning is sluggish by design, and sometimes you won't want to turn but still need to make a large aiming adjustment. Basically, the gyro aiming is more involved here.
And the multitasking is a step beyond what splatoon asks of you. splatoon lets you glance at a map for a second in order to get a general idea of the match flow, starfox zero wants you to be aware of the action on both screens, and adapt to playing from each view on the fly. Usually you can just stick to one screen and work around its limitations, but there are a few bosses that want you to lock on, and basically circle strafe around them, aiming at their weakpoint with the gamepad view, while also dodging attacks with the TV view. If you don't figure this out, late-game bosses (or anything significant you have to fight in Arwing all-range mode) will be obnoxious to fight.
It's incredibly satisfying once you get it right, but you need to be prepared to practice and fail for a while before that happens.