the only reason people want to get rid of PoW is because they are the gys that only have a little bit of fiat to their name and think they can get rich quick if mining changed.
the thing is.
give it just a couple months and whatever distributed mechanism replaced it would get gamed by those that can.
EG if it became a thing related to proof of node. then people would synicate loads of nodes (likea sybil attack) to get an advantage
EG if it became a thing related to proof of stake. then people would would stake alot and spread the stake over many keys to increase their chances
EG if it became a thing related to proof of IP. then people will load up proxies and remote services to increase how many ip addresses they control
so within a couple months the game would be back in the hands of the big players.
so forget changing PoW based purely on distribting the rewards, because that will never happen how people think.. even LN wont make every LN node 'get rich quick' the LN DNS seed will make sure only a chosen few get listed as the main routed hubs.
what people need to think about is the actual SECURITY of the chains and the risks of outsiders trying to break the security of the chain. and PoW has shown to be the best way to offset risks of outsider takeover