Sounds like a disguised firing.
The usual answer to a question about the 'show' goes something like 'maybe he is, maybe he isn't. Maybe he will, maybe he won't. Maybe they did, maybe they didn't. Maybe we'll win, maybe we'll lose.'
It probably went like this.
Trump said "you're fired"
Barr asked that the public perception be softened for the sake of his family.
Trump readily agreed but insisted the resignation letter was well buttered with false love from Barr.
Trump knows Barr will write a quick book or three about how terrible he was but he made Barr grovel for the softened exit.
Kek. Or I could be completely wrong and they really do live each other.