Here's the thing, though - Starfleet ain't the military. If someone wants to resign their commission, or put in for transfers. they can. The Enterprise is a ship of exploration, and protecting primadonnas full time may not be, as Riker once put it, "the mission I signed up for." Piss off enough staff hard enough and now you've got to replace your whole command staff - during an intragalactic crisis.
This wasn't about Jellico's command style or his longterm needs as a captain of a vessel - this was a temporary assignment for him - which he ultimately did, in fact, surrender. While there is a need to establish a clear leadership, redesigning the whole organizational culture during a crisis is something of a tower of mashed potatoes.
You can take charge of people who have a well-established rapport and system in place without a) being a dick to them, and b) threatening the ship by experimenting with new organizational structures and creating obvious disgruntlement just when you need everyone operating at peak efficiency.
Starfleet can replace the entire crew - but today? It was an unnecessary shakeup, sort of like repainting the house to fix the sink. Wasteful and inefficient, only appearing effective but not reaching its own goals of 1) maximizing crew operational efficiency in a crisis and 2) creating a viable longterm organizational culture.
Jellico made it about himself at the wrong damned time, and that may be why he couldn't hold onto that command, since obviously the crew was satisfied with having Picard back in place, and didn't suggest he go tottering elsewhere. And that's not familiarity, that is a clear preference for the leadership and organizational style that they are fully aware of being ultimately, the more effective. Granted, big shoes to fill - but compare with RIker taking over the Enterprise during the Borg invasion of Wolf 359 - he managed to succeed without rotating crew shifts and dicking about people's clothes.
Longterm - hardass, effective, and probably lots of crew turnover, since who wants to live like a puppet except a bunch of inexperienced ensigns, not experienced pros who need leeway to function at their optimum.
Short term - rearranging deck chairs on the Titanic. The comparison with riding crop cuckold Stiles is not that far off the mark.
Even broken clocks are right twice a day. He got lucky. He could just as easily been left without half the staff.
(Great actor, love his work in Gate too).