(10/2/2023 8:10 am eastern standard time) I am also having the same issue. I have 2021 Desktop Pro with the enhanced payroll feature. I installed the current payroll tax update (22316). I have closed the program and restarted the computer many times. I still get the same issue when trying to e-file the 941 quarterly. 

Problem: to file your return, you need the latest payroll updates

Solution: download the current payroll update by selecting the employees menu in QuickBooks and then selecting get payroll updates. 

Well, your solution does not work when the user is up to date!