I think the NFL is doing a lot of backpedaling from their initial dismissiveness of the lawsuit, which indicates they're likely looking for a way to expedite a resolution to the case (i.e. they will attempt to reach a settlement with Flores as soon as possible). The NFL will want to avoid a likely embarrassing discovery phase. This would include Belichick answering questions under oath about the text exchange with Flores and whatever conversations he may have had with Buffalo and NYG. Other texts and emails from Belichick and many others may come to light as well, which is guaranteed to be messy. So again, it's in the NFL's best interest to settle the lawsuit if possible. Also, Flores if hired as a HC in the interim would lose momentum with his case. He doesn't seem likely to get a HC job at the moment.
I don't think Flores will turn into the Colin Kaepernick of NFL head coaches. Given the state of the roster, I think he did a decent job with Miami. As a first time HC he had basically the same record as Belichick over the last two seasons. Given the allegations against him in the lawsuit, Stephen Ross looks REALLY bad and I think it's probable he fired Flores because Flores wasn't willing to go along with Ross' disreputable suggestions.
I think Flores deserves another shot as a HC in the NFL for an owner who isn't bribing him to lose and firing him for winning.