you forget that they want to burn some of the eth fee instead of passing it on to the miners.I believe that those big pools that dont wan't it, believe there exists better methods to address the issue. But they sure as hell agree that the viability of the project cannot be maintained without "some" measure. They are not suicidal. The death of Ethereum would be the death of all of them. You cannot buy a GPU today. Thats how powerful the economy of Ethereum is.
Ultimately, EIP1599 is deflationary, which means that even if they earn less Ether, Ether value will rise. In the end, they stand to gain and the project proliferates.
Once people stop making money they will stop mining which means less processing power which means more finite compute which means the new tip feature is going to get a huge work out because there will be even less avalible processing power
Burning ether is only going to make those holding or staked more money because there will be less ether. But with most of the big mining pools wanting to fork it could just kill ether all together.