If it wasn't valuable then the work wouldn't be done in the first place.
If it wasn't
profitable, it would
likely not be done in the first place.
Quite different.
Profitable doesn't imply valuable.
PoW is an unsustainable ever escalating arms race.
I told everyone upthread, the only way to make PoW work decentralized, is to make it entirely unprofitable. That is the last hint you are going to get.