I realise it's 20 years ago now (#shockedfaceemoji) and it was a different competition, but when the scousers won the UCL in 2005, but then didn't qualify through the league for the next season's competition, they looked set to be unable to defend their trophy as no one had bothered to draw up the rules to say that the incumbent UCL holders automatically qualify when it replaced the proper European Cup. The "waaah it's not fair" approach did then result in thier eventual admission.
Albeit via some bullshit qualifying round away to FC Mysteriosa or somesuch and an eventual rule change. IIRC.
No one really thought that would go Liverpool 's way at the time either based on the assumption that good old fashioned stubborn bureaucracy would win the day.
So it could happen, I s'pose.
Then again, Liverpool, so yeah. Nevermind.
As you were.