I never heard of anybody claiming he is sailing in not gusty wind ;)
I would say that you can either have wind changing significantly for a period of several minutes (typically in trade wind with a squall 12kt becoming 30+kt.) or unsteady wind in rather bad spots (as lake sailing with wind averaging 15k but instantly changing from 5 to 25kt for duration in seconds).
Some use race sail (with or without cam) and keep rather sheeted in. You need a stable foil with nose up tendancy, so you can 'lock' the board attitude between the foil nose up force and the sail nose down force. You need a good stable sail that change in the gust but maintain a rather stable nose down force.
Being a lake sailor (marin d'eau douce) I mostly use the opposite path : I have been tuning my gear to minimize tilt input from the sail :
Wishbone up to pull closer to the sail aerodynamic center (sorry I don't know the english exact terms).
Mast foot really to the aft to minimize arm lever of the down force of the sail.
I use wave sail, and when with small gear (sub 4.5m2) I use very low aspec Naish Chopper (low aero center).
I trim with downhaul about the same as with windsurfing so the top of the sail opens up in gust and is quite flat, outhaul rather just tightened.
Last tuning I tried is to switch for a shorter mast to soften the rig (using a 310m with long extender when 340 is recommended). But I am not yet sure I'll keep that.
I maintain sheeted in, head upwind when overpowered, or really downwind sheeted in fleeing the wind (it reduces the apparent wind), but it is kite more tricky. Definitly, if I need to sheet out, I need a smaller sail. But sometimes it is not practicable.
I don't know the Fringe sails, but I believe it is typically the kind of sail I would used for my style, but probably not for large sail. I'd rather go for 4 battens when above 4.5 to have more sail stability.