what is this description supposed to show? your story flattens the example we are discussing.
it's simple - without a private key and next - transaction in mempool that reveals the public key your "Bob" will only be able to scratch his balls, because his solution consists only of over using the BIP125... and if this transaction shows up - then Bob will be surprised because he will only see massive fee bidding
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Bob can happily scratch his balls because he had NOTHING to lose, so nothing to cry over.

Bib wouldn't care at all if he gets even 1 satoshi out of the reward, because his costs were basically zero.

If we would all be rational and the word "hope" would be irrelevant for our species, nobody would even bother to run bots, because everyone would know there is nothing to win here. This information is known to everyone, it really depends what you are going to do about it, this is what makes the difference.