Likewise my MacMini is excellent, yes my first MM suffered the grey noise problem and screen black outs on the HDMI feed only.
Mine was one that was 'captured' by Apple and I was then sent a replacement which has not given me any problems once I aplied the various updates.
One thing I would say, the first MM did seem a bit strange and I could hear lots of disk activity. Checking 'Console' I found lots of "MDN Responder" messages, I think that was it. Anyway someone, on these forums, suggested I start up in 'Safe Mode" so in for a penny in for a pound as they say, so I started up in Safe Mode.
Holding down the "Shift" key I booted the MM and just let it do its thing and logged in when prompted and left it until all activity stoped, which was not long. I then rebooted normally and all that disk activity and MDN Responder messages were gone?!
I have no idea how or why it worked, other than starting in Safe Mode forces some rewrites of certain files someone said? But whatever it did it worked, my second unit did not exhibit this disk activity or MDN Responder messages?
But as part of my regular "housekeeping" I start both my MBP and MM up in safe mode. Now it may be nothing more than "Snake Oil" but it keeps me happy 😀