I always hear people say don't lease, but what about the case where your car gets in an accident and suffers some frame damage?

I took a $3k loss on the value of my car after just such an accident after repairs.

It seems that in a lease, you are only responsible for the cost of repairing the vehicle, but not for the depreciation on value after an accident.

I'm sure I am missing something in this point of view but hopefully someone here can clear it up for me.