I'm not sure if this was suggested before. I just think it's tragic to get a 6+ stat on some shoes that does not apply to your character, and never be able to use or even put them in storage for your alternative character. I don't think it would majorly impact the game, and think it would actually benefit new coming players as well as incentivize more players to KPQ in general if the shoes were trade-able -- at the very least, perhaps consider allowing these shoes to be stored, so they can be allocated to a more suitable character with those needed stats. I imagine that this hasn't been implemented to keep the "nostalgia" aspect in tact, for the same reason that a character can't change channels when they're out of breath, I suppose. If there's a negative I'm not seeing I'd love to hear it. Thanks.
I vote for this too, since experienced players would help beginners with KPQ. Since most value Shoes are with Attack in dont think this will effect this shoes meta right now negatively.
Instead of them being tradeable, what if KPQ rewards an etc. item and after 10 or 20 of them you can trade in for the shoes? This would be consistent with how all other PQ rewards are handled - broken glasses, eye of horus, the OPQ glove, pirate hat.