All the reports do suggest firing Tuchel was not a footballing decision. It was a decision based on the sporting management culture of the organisation, and what they wanted that to be at Chelsea moving forward.
Boehly wanted a more collaborative culture where the coach along with the DoF (when we get one), owners etc are in open communication about the direction of the club. Tuchel, however, preferred the previous set up he enjoyed where he mostly just had one on one conversations with Cech as his go-to person, who acted as the go-between with Tuchel and the board. That's kind of fair enough on both sides, but according to reports, it did lead to friction between Tuchel and Boehly because Boehly wasn't getting what he wanted from Tuchel and Tuchel was either uncomfortable or unwilling to work in that kind of collaborative set up.
Tuchel has openly spoken about how much he felt his set up at Chelsea was a breath of fresh air, where he was just left to coach the team and then have a conversation with Cech every now and again when his input was required by the board. He's a great coach, tactically fantastic but if he can't or is unwilling to communicate with more people and be part of a bigger group rather than just work in isolation with the players, then I understand why Boehly couldn't see a future with him.