Deferrals isn't a new contract, it is money you already earned and you accept being paid by the club later.
Already earned is the keyword.
New arrangement of contracts or whatever you call it, is you renewing and accepting a new contract with different payment plan.
Both can be confused by the media.
In case of Frenkie for example, he signed new contract under Bartomou, so it wasn't Deferrals
In case of Pique, it is simply a case of 2 different cases:
1-Contract signed under Bartou: Basically same as Frenkie, it is new contract overrule old one. If media report is correct then he has a contract that he is accepted, that can be terminated next summer.
2-The money he gave up under Laporta: This isn't clear, and even latest leaks said it is in the dark about it, whether it was Deferrals or paycut.
A-Paycut is an obvious case, he accepted less money.
B-Deferrals: This is a clear outcome, no new contract is signed, but amendment to the payment plan of what he already earned. Regardless of when he leaves, Pique will get his money.
Busquets case is the same, whether it is paycut or Deferral, and if Deferral he will get paid.,
Don't think club is wrong in any case btw, we respected players but we are in shitty situations at times, in case of Frenkie the club see it asa new contract and player will be getting paid his money by another club anyway.