@Luc *******
they can't give you a 60 day visa exempt stamp even if you asked. You can't not use a visa or re-entry if you have it.
Airlines can also not just randomly ask for return tickets. They pre-check whether you are eligible to enter, and with the reentry permit a return ticket isn't required. No matter how many days are left, the extension is aimed at long stay and that's how the accompanying entry rules are defined: no exit travel ticket required.