No, I have not. I did place a call to LogMeIn tech support. The Macbook 3000+ miles away called in to Logmein also and we had about a 45 min call where LogMeIn tech used the Rescue product to connect to the host machine and the client machine and worked through the security and privacy settings. Then the tech pulled in a level 2 support person to the problem. I couldn't keep up with what they were doing on the host machine that was 3000 miles away but they opened a terminal session and were making modifications to host application. In the end they were able to get remote control working on the host. So, thats great. However the issue of the security and privacy setting window popping up anytime you reboot the MacBook, or if you shut down the host process and start it back is not resolved. They were saying this will be 'normal' behavior . I expressed that this is not acceptable because it confuses the user I am supporting with popup about security.
Logmein support was helpful and nice, especially with the non-tech savy user.
As a follow up on my iMac I decided to do a clean install of Catalina. Once that was done I did the usual send and email invite to install Logmein host on the iMac. The install went fine. I did notice that there were security and privacy notices for Accessibility, File Access and Screen sharing . Once completed I rebooted the iMac. No security popups,, started Logmein Host, no security popups. Then used my Logmein client to connect to the iMac and remote control works perfectly. That iMac had gone through several OS updates (Yosemite to Catalina) and several Logmein updates (2015 - 2019) so maybe it was just junked up.. But a clean OSX install followed by Logmein install seems to make it work smoothly.. Guess I will have to wait until the Macbook 3000 miles away is visiting me so I can clean install MacOSX and Logmein...