I don’t know anything about air conditioning/heating, but it is a bit hard to say whether your inkling is correct, without knowing what is wrong with the system.
As a start – have you made any enquiries with the building manager as follows:
– what is wrong with the heating tower – is it a repair or replacement job? (you say it is a repair but there may be a component that is being replaced)
– what are they doing/what steps are they taking to fix it?
– what is the estimated time period to effect the repair?
– does the strata scheme have the money to fix it?
I suggest only then will you have any basis on which you can form a conclusion.
I lived in a block of flats where the hot water system went kaput in the middle of winter. They had to make a new tank, and we went for nearly a month with no hot water…