It wouldn’t be issued by X.
Discussion
The point still stands that you don't truly own the wallet, so it's not even YOUR wallet, so to speak.
Well, unless if you’re running your own node, you don’t truly own your wallet anyway. So yeah, the 𝕏 one is custodial like most of the wallets here are, but you could always command the agent to transfer it to a wallet you custody when you’re ready/if you’re ready.