A super long burnout and a short little blip makes very little difference to the tires and the traction of a run. (When the tires try to grab, it can wear on the clutch, though.)
But the long burnouts are all about two things. A show for the fans, and fun for the driver. (The most fun part of the run usually.)
And when the fuel guys started doing shorter burnouts, it was mainly because the blower belts were breaking quite often and they liked less wear on the blower belt. The engine is not getting worked at all during a burnout. Especially in a fuel burnout. It does take a bit off of the tires, but well worth it for me.