Change turrets destroyed to damage dealt to structures

But how else will I be able to last hit towers to amp up my stats?

That would be undair nerf to , so no.

rip tanks and supports.

adc and some mages would always sit on top of those charts. i think a player contributing to a turret siege is more important than how much damage he actually did to it.

some champions are simply not capable of dealing a lot of damage to turrets, but can still contribute a lot by zoning enemies off them, or supporting their team with heals and shields, and poke with occational auto attacks at them.