No. NFTs let you trade some bullshit token. The token's provenance and ownership doesn't have to be respected by anyone.

The state of any particular blockchain doesn't confer any copyrights, license, or real world ownership. It's about as valid as me writing "I own a pair of Air Jordans" on an index card.

Unless a game developer decides to honor any particular blockchain and NFTs on it those NFTs mean nothing. There's no upside to a developer honoring third party NFTs because they make no money off them but do have support and development costs.