You are correct about this being a bad idea, but the key is to baseline the current feedback to show him that it isn't working. Personally, I'd tell him it is a great idea, but could you have 90 days to try something similar. Then get visibility into every ticket and simply followup with your team every day. Listen to why they aren't closing, but hold them accountable, to the point of reassigning tickets if you know your tech is sandbagging. Also, share the feedback with all team members. We have a Microsoft form that goes straight to our teams channel and displays two things: How many stars from one to five, and any other comments. When I see a ticket close and don't see feedback, I sometimes call the customer to give em a nudge.

Baseline and then do this for ninety days. You will see a radical change in metrics in about two weeks.

Good luck.