Well if the 31 of December deadline is the issue here, I'm on LaLiga's side. Why should they make an exception? The deadline is publicly known, Laporta knew he had to register Olmo until that day for months now. Holiday excuse is just weak. That's always the case if you do things at the very end, sometimes it'll fail. Teams couldn't transfer players because their fax machine was broken and time ran out. I never understand doing these things in the last minute.
Laporta has to answer for it and need to take responsibility with all its consequences. But resigning now is not one of them, it's just stupid activism that doesn't help the club at all. It just pleases the mob.
First of all, he needs to suck Olmo's dick, so he doesn't use his clause. I know that loan is not possible, because loan players need to be registered first, but there should always be the option for him to sign a new contract at a new club for half a year with a clause to continue at barca in the summer. There will be enough clubs ready and willing for it, maybe even Leipzig watching them struggeling now in the Bundesliga would take him back happily for the remainder of the season.
If Olmo's dream is barca, he won't give it up for half a year.
Then in the summer, a conclusion must be drawn about Laporta's work and the socios need to decide if they want to do a vote of no confidence or let Laporta answer for it differently.