It could also be he's read the tea leaves of massive sanctions and figures the west would support a softer, friendlier Russian leader, whoever that is. Still probably suicidal doing that kind of thing on speculation.
I'm suggesting that lots of people act a way, and then they change for a job. If he wanted the leader of Russia job and had to act nicer to the west to keep it, well, that's a possibility.
regardless of if that's true, Prigozhin is not that "softer, friendlier" guy.
It's likely more internally focussed and not about us - don't make the mistake of thinking of the West as the main character here. More likely, it's about who would _Russia_ support, and reaching the opposite conclusion about what kind of leader they want.