Um, not quite. The command dome is not located at the station centre. It still experienced rotational forces so there would be some gravity there. But it would be less than 1g to be certain. Passengers on the core shuttle monorail would be at near 0g. They sort of dealt with this in the pilot movie (remember when Sinclair and Garibaldi were riding one of the cars and were in harnesses) but never again —though they did depict near-0g at the core in the second season closing episode when Sheridan had to dive out of the monorail car when two Centauri left a bomb on board.
As I remember, the command thing is just above the docking bay. At least, that's what I remember from the opening sequence when they zoom in on it.
You are correct in your general observation that the series goofed in showing a consistent 1g on all levels of the station. Some should have been <1g, other zones should have had >1g. But I mark this as a concession to artistic license, and probably one more for production convenience, since it would have increased the budget and complicated filming (or post-production editing) to show varying gravity on the station.
Well, then they should have just given the EA artificial gravity. The way their ships are designed makes it utterly impossible for them to generate any kind of usable gravity.
Damien Sorresso
"Ever see what them computa bitchez do to numbas? It ain't natural. Numbas ain't supposed to be code, they supposed to quantify shit."
- The Onion