To the contrary, I think DS9 is perhaps one of the worst offenders of the whole taking the senior staff on away missions thing.
The entire station command staff are constantly leaving on the Defiant! Who are they leaving in charge of the station when everyone is just gone? Even Kira, a Bajoran officer who should probably be on the station she's first officer of, spends a ton of time on the Defiant, a Starfleet ship she by all rights should have no authority over.
To their credit though, we do also have a number of episodes where one character takes the Defiant and the rest stay on the station, which is probably more realistic.
Two of them, actually! I personally prefer the newer one, New Civilizations. Less buggy, gets updated quicker, plus just generally a higher level of polish.