Earlier quoted context omitted.
This is besides the point, and the parent didn't quite explain it correctly. If there is no opportunity cost for mining, there is no penalty for mining an invalid chain therefore no security.
There is a penalty for producing an invalid fold. Folds are validated.
There's some subtleties to how a cryptocoin works that aren't obvious and they're absolutely critical to making it work. Bitcoin can have competing chains of blocks that eventually get orphaned. And it's because there's this race condition while block solutions are propagated across the network. Eventually, after enough blocks the network agrees on which chain wins. But imagine if you could know how the next block would start - what its inputs would be. You could start solving that block now.