I did. Apple technical support had me chasing my tail for over a month! All 32 testing scenarios were done with the setting "Turn display off when inactive for 1 hour". They had me test in normal mode/safe mode, 3rd party software installed/3rd party software uninstalled, 3rd party hardware installed (Logi mouse, Logi receiver, Yubico key, Samsung external drive)/3rd party hardware uninstalled, WiFi turned on, ethernet cable connected/WiFi turned off, ethernet cable disconnected, normal user/test user, and had me take Mac mini to the local Apple Genius Bar to test (they had it for two days, did not find any hardware issues).
In all 32 testing scenarios the Mac mini woke up within 3 hours or less (random times) of the time I clicked the Sleep option of the drop-down Apple logo menu in the upper-left corner of the desktop screen. That is when I decided to post the question about power mode. Since that time I tested a 33rd scenario.
At no time did any of the 14 Apple advisors ( 7 were Senior advisors) suggest changing the setting "Turn display off when inactive for 1 hour". The 33rd scenario (normal mode, normal user, 3rd party software installed, 3rd party software installed, WiFi off, Ethernet cable connected and the setting "Turn display off when inactive for 3 minutes". This is how Mac is configured for daily use.
Eureka!!! The Mac mini slept for over 3 hours without waking. I repeated the test with same results. I tried settings of 5 minutes and 10 minutes::: Mac mini slept soundly for over 3 hours. I switched setting back to one hour, it woke after two hours. I tried setting of 30 minutes, again it woke after 2 hours.
I've been using a setting of 10 minutes for 2 days now with no unexpected wake-ups.
Question for all, "Why does the Mac stay asleep with settings of 3, 5, 10 minutes, but wake up from sleep with settings of 30 minutes and one hour?".
If you are using 3, 5, 10 minutes setting, would you be able to test your Mac with a 30 minute or one hour setting and post your results to this conversation?
Thanks to all for your responses to my question.