There has been a concentrated media campaign to destroy Jaylen's value and it seems to have worked. Before the Giannis deal, the overwhelming sentiment was the Jaylen was better than the entire Miami package. Ever since that deal failed, the wolves have been coming out in full force to the point where Jaylen is getting massively underrated. I would assume in hopes the Celtics will sell him off for far less than he is worth.
So, at this point, I think the Celtics hold on to him. I don't think they recommit to him in the near term, but once all this negativity blows over and teams realize their deficiencies after free agency, it's entirely possible/likely teams re-engage Boston with real offers. And not just ones where they can easily win the trade against a desperate Celtics organization.
But if all of that fails, Jaylen is signed for 3 more years. I don't think he is going to sit out and he does have a great relationship with his teammates. The rumors will continue to swirl and I think that the Celtics eventually do move him, but it is looking like they can't move him right now. Not until teams get more reasonable about what they're willing to offer.