There is no PoW barrier high enough for spammers with dedicated machines.
Being horribly slow would only penalize legitimate users, not spammers.
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Then why doesn't this apply to Tor and Bitcoin ๐
In Tor I don't know how PoW is used.
Bitcoin is different. PoW is the goal of the game of signing a block. Every miner competes to complete the PoW before the others, and the first who completes wins and appends the next block. You cannot move this schema to relays. There is no "competitive game" to publish the next note or anything similar.