The security risks, certificate revocations, account bans, and broken features make old YouTube IPAs a poor choice for daily use. Even if you find a working version today, it will likely fail within weeks as YouTube updates its backend.
This is the safest method and does not require a computer or third-party tools. It works if your Apple ID has previously downloaded YouTube.
Aris ran to his roommate's laptop, searched "how to delete sideloaded IPA without opening phone." The answer: you can't. You have to trust the profile expires.