Consoles have a hardware ID baked into firmware (PSN ID, Xbox Live ID) that the user cannot change at all. Sony and Microsoft control the chain end-to-end.
Console bans land at platform level, not game level. After a ban PSN/Xbox refuses every game on that console, including offline single-player titles. There's no recovery short of buying a new console.
Console HWID change exists in theory (custom firmware, jailbreak), but Sony and Microsoft chase modders aggressively and patch every entry point within days. We don't recommend this path.
If you got banned on console — the most pragmatic option is buying a used unit and creating a new account. Cheaper and safer than CFW and the legal grey area.