He's not wrong and tracking your employees like that is actually illegal in Switzerland and probably other places as well.

In fact if you install security cameras in your work place they can not be used to track employees.

You are permitted to gather overall metrics over all employees but you can't track individuals. There are exceptions but only for very specific instances.

If you don't trust your employees to do the work then what guarantee do you have that they do their work well? This is how you end up with door hinges meant for the front ending up installed in the rear. Zero trust means their is zero incentive for the employee to give a shit about doing their job right.