Rotating a habitat is a hard problem in space or on a planet. But, Mars's is gravity would make the problem easier not harder. The atmosphere might be a problem, scale might be a problem etc etc, but gravity is not. Further, there may be little need for 24/7 1g, perhaps a tiny room to work out in is enough, perhaps you should sleep in 1g or perhaps 1/3 is enough for sleep etc.
But, again gravity is not the problem. And yes such a massive fundamental failure in understanding is a clear sign of incompetence.
https://en.m.wikipedia.org/wiki/List_of_revolving_restaurant...
The example on that list that I had been to most recently is the Westin in Atlanta.
It's 57M in diameter and it's upper floor spins at once every 30 minutes. Plugging that into Mω²r, you end up with 0.0000354084g.
Not exactly the best example.