With which he loses the right to participate in an eventual Conclave that is convened to elect the Pontiff.
He should also cease as Archbishop of Barcelona, although this may be delayed by a few days or a couple of months. Not a few assure that he will be Archbishop of Barcelona until the visit of Pope Leo to the capital of Catalonia. It is not necessary in any way. The prominence in the Pope’s arrival is assured for him even as emeritus, since he was going to act as pontifical administrator until the taking of possession by the new Archbishop of Barcelona, who has not yet been appointed.
Once Pope Leo leaves Barcelona, Omella’s permanence would make no sense at all, whom we believe has his days numbered.