I hate being cold. The thermostat is a constant war game in our house. 25 years of marriage, I walk by the thermostat I turn it up, he walks by and turns it down. lol.
What struck me the most is that it sounds like you building can only have one on at a time? That seems odd.
It's a central heating or cooling system in a 60 storey building that is less than 5 years old. I suspect it has to do with all the green energy efficient ways they do it now. This building is top rated for that. They have to turn off the boilers and let them cool down for 3 days then they can enable the cooling system from which all the separate individual unit controlled systems draw.