My institution tried to implement "productivity" software during the shutdown. I, and one other director, were the sole voices of reason, saying "this is a waste of money and time when we're busy enough as it is".
We apparently were persuasive, they cancelled that buy. Then, once we were out, executive leadership tried to implement a 'task tracking' timesheet to be filled out by every employee.
I took a HUGE chance on my career. I e-mailed all leadership and the board, explaining that implementing this was needless busy work. If we were working remotely, and the expectations were that the same things were getting done, implementing something like this and NOT when we were physically present would just prove that 'management' at our institution meant control of people's lives.
We're higher education, and everyone is slightly anti-establishment in some fashion. This put the hair up on everyone's neck. One hellstorm of an e-mail thread later, and they killed that form, too.
Management just needs to realize that people fuck around at work. It is not important whether that is at physical work, or remote. It will happen. What is important is that you evaluate the work done, and, unless you're working on billable hours, evaluate whether there are more efficient ways to do business. If you enter those conversations honestly, then your people will have just enough time to fuck around, while still being super productive.
Being human is part of work. Fucking around with the people you spend a lot of time with is part of being human.