For NFT games, a powerful blockchain is needed, now the Ethereum blockchain does not cope well with the load of DeFi and NFT and the commissions in Etheuem continue to grow, which is not convenient for using NFT in games.
Ethereum will never be bad even if it can't handle the current burden of DeFi and NFT, because DeFi and NFT actually don't have a close relationship with Ethereum, moreover Ethereum already has its own network and is also still very strong in the community even though the cost is often be discussed.
despite this, there are some NFT games that use tokens based on ERC20, for example, the game that is currently booming, namely Axie. although there are still some but axie is very popular and can be used as an example.
and about eth it's true what you say, although there are still many who complain about gas problems, but eth will still be one that many people really admire