In many cases they're industry experts / academics and in many cases those academics continue to publish papers that look objectively at the actions of all companies in their sphere of influence, including the one they're on the board of.
It's _expected_ for them to publish this type of material. It's literally their job. Cheerleading is for the C-suite.
Imo you have to commit to working within an organization if you're on its board, you can't burn it down from within. I think it's less of an issue to try to remove the CEO if you don't agree with the direction they're taking, but this was obviously done in a sloppy manner in this case, and their willingness to destroy it makes me distrust them (not that my opinion matters per se).
I don't think it was done in a sloppy manner, I think there's a huge amount of spin and froth being generated to make it _look_ like it was done in a sloppy manner, but the reality is that the board took an executive action, released a discreet and concisely worded press release and then fell silent, which is 100% professional behaviour.
To me it's the other side that are acting sloppily, they're thrashing around like maniacs, they're obviously calling in favours behind the scenes as supportive articles are popping up all over the place, apparently employees were calling other employees in the middle of the night urging them to sign the 'I'll quit unless' letter, employees have been fed a misleading narrative (two of them, actually) about why the action was taken in the first place which riled them up...
I have to assume here that the board - as they're the ones acting professionally - similarly acted professionally before the firing and discussed the matter at great length and only resorted to this last minute firing because of exigent circumstances. The fact that a fired employee was able to cajole/bluff/whatever his way back into the office to prove some sort of point suggests that the board's action may have been necessary. What exactly was done during that time in the office, one might ask? Were systems accessed? Surely it was an unauthorised entry and a major security violation.
You do see that that action (re-entering the office after being fired) gives off lunatic vibes, don't you? Maybe it really did come down to 'yeah you're technically my boss but I'm gonna do whatever the hell I want and there's nothing you can do about it because everyone loves me' to which the board's only possible course of action is to fire immediately.