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Unlike Jellico, Shaw actually paid attention to those under his command and showed character growth. Granted, Jellico only had a limited time, but he was given a lot of assholery and extremely few humanizing traits/moments.
With Shaw, it's spelled out why he is the way he is and that even with those burdens/wounds, he's still trying. You don't get any of that from Jellico. The closest you get is him dropping ranks to insult his first officer and then subsequently asking him to do an extremely difficult/dangerous assignment.
Steve Shives defends him, and I do see his point, but my counter-argument to that is worse for efficiency to change up ways of working immediately before a critical event, even if you think your way is better, and to ignore what the modern day calls the "human element".
I've said this more than a few times back in r/DaystomInstitute, but...
When Jellico was given command he had very little time to prepare to be put into a very volatile situation with just the Ent-D. He'd need everything running at peak efficiency and everyone at their sharpest because things can turn south really fast. He wanted to go to a 4 shift rotation which wasn't necessarily unreasonable so people can be better refreshed on their shift. He needed the ships systems increased to for better power efficiency, which was not necessarily an unattainable goal. He was right in playing the delegate from the Cardassian ship to throw him off-kilter, and he was right about the ships hiding in the nebula. It's the duty of the first officer to carry out the orders of the captain and Riker challenged nearly every order. Going into a tense situation you need to know you can trust your crew so he wasn't in the wrong relieving Riker of his post. He was right about the ships hiding in the nebula, and Jellico even showed humility when Geordi suggested Riker was the best pilot on board. He was even humble when Picard returned and Jellico was transferred back to the Cairo.
Of all the decisions Jellico made that turned out to be right, my favorite was putting Troi in a standard uniform.
And getting rid of the fish in the ready room
Upending the crews schedules doesn't seem like a great way to generate efficiency to me. It's like the daylight saving time switch, everyone would be messed up for a few days.