I too have had depression and I have also had depressed friends. All of us have had those symptoms.
That said, I do think there is probably some mitochondrial dysfunction going on in a subset of Long Covid patients that reduces muscle strength. But we don't have a good way to measure it and don't even know what to look for.
So it's seems absolutely possible to experience "actual weakness of muscles"
Long Covid is different. covid --> weak muscles. Also, it is more acute.