Obviously the problem is possible. It's happening to you. I'd like to find out why so that I can troubleshoot and fix the problem if it starts happening to me or my friends or coworkers. And really, I'd like to help you fix it, too, if I could figure out what's causing it.
I been reading other comments and as someone (xrisk) pointed out that it is Homebrew Casks which it made sense since all of the gatekeeper alerts is coming from 'Cask-ed' apps. I could disable Gatekeeper but I rather not because MacOS is not my daily driver. I rather to keep Gatekeeper active to protect itself from moronic me.
Does the method of right-clicking on an app, then "Open", in Finder work to tell Gatekeeper to quit complaining?
You could edit sudoers so the command doesn't require a password. But really, at that point I'd just leave Gatekeeper off.
Additionally if they can’t reproduce, they can’t offer any advice or help.
It’s highly unlikely that MacOS behaves specially for your existence.
I am genuinely curious why people are singing that "I don't have that such problems in my computer!" slogan repeatedly? Some of us have that problem and just because we have the same OS and possible the same hardware didn't mean it is impossible. I wish people change that particular mindset and be aware that those problems does exist.