Can you prove a validator received a transaction?

Quickly looked this up and I can't believe that it never comes up when people talk about transactions censorship even though it's just an important detail.

The fact that one can't makes any censorship arguments dismissible, all the more reason why decentralization is important.

A hard-fork is a new law for the blockchain, but a soft-fork is just a new action using the same laws.

May have loosely phrased that, but "amendment" in this context meant a conservative change through soft forks.

This is why POW consensus gets severely underestimated.
POW consensus CANT make these censorship decisions.
A rogue block will always sneak through that the validators can't deny.

That, is interesting. Could you make my research on that easier by explaining a bit on why that happens?