I don't know. Depends if miners and users see that drivechain as valuable to the Bitcoin ecosystem (as with any other transaction or block). Majority miners can choose not to confirm and block or transaction they wish, regardless of drivechains. Majority node operators can refuse to relay any block or TX they wish, regardless of drivechains.

Would the network accept a Kanye drivechain? Idk. If it was economically popular (in terms of BTC hashrate and volume) then it could exist. If it was harmful to Bitcoin, I doubt people would fight for its continued existence, but I don't have a crystal ball.