Dude you really don't understand the math of propagation. That is an idiotic claim.

Without verification of transactions in the prior block, PoW can't be safely devoted to mining the next block.

Scaling of block size is all about the fact that all miners have to verify all transactions. Which intimately tied to PoW.

If miners start trusting other miners by reputation instead of verifying, then you no longer need PoW. You can based the consensus proof-of-maximum-trust, i.e. trust is centralization.