The big problem with the nightingale hospitals is that there were no staff to run them, and hospitals are understaffed as it is with people of sick or isolating due to the governments approach of vaccinating their voters first ahead of medical staff.
Even if they were used in the first wave it was in the expectation that any hospitals sending patients there would also send staff to look after them, which was never realistic.
You can hire a hall and stick a bed in it, but if there’s no one to look after the sick person in it they don’t have much of a chance.