If you reverse PoS and PoW in your post, then your post would be 100% accurate and correct

Doesn't it cost nothing to attack a PoS coin? While you must use actual resources to attempt to attack a PoW coin?
Exactly, I thought attacking PoS coin is much more cost free (next to nothing) than attacking PoW coin.
You just have to buy 51% of the currency or track down majority of stakeholders and compromise their private keys. Much cost free