The piston is quite capable of absorbing that impact and surviving fine.
The only reason to be running a valve seat would be if that is an aluminum head? Do not have anyone install hardened seats into your iron Ford heads. You DO NOT need them. Ford uses a harder cast iron then other companies like GM.
I can't quite identify the head from that picture but it looks aluminum and resembles the exhaust port of the Ford Motorsport "high port" heads.
You want to verify that the connecting rod didn't get bent (I doubt that it did) and the rod bearing is ok.
Those seats used in those heads are the same as in the Chevy aluminum heads. They aren't the fancy "Stellite" like in the 427 Ford heads and because of the source, are inexpensive and fairly plentiful.
The issue is going to be if the cylinder head itself is showing signs of damage where the seat normally sits.
It is on the unusual side for them to come loose and fall out like that unless the head has an issue in that area. That's really going to be the main concern.
The design normally pulls the seat in, not push it out.
Those are dished pistons with, it looks like 61cc chambered heads? Is that engine a "stroker". Leave the piston if you can. Unless you are going to run 24hrs at Lemans, you will never see an issue with it.