I can get to that radio button about allowing a "handoff" in the General tab of System Preferences, but unchecking it doesn't disable Universal Control. Force Quitting Univ. Control in Activity Monitor also doesn't keep it from reopening. I'd like to disable it altogether...
Your screenshot does not look like what I get when I go directly from the main window and click on Displays, which is what my first screenshot looks like. It’s not easy for me to jump back and forth between startup disks but when I get to it, I will show you again what the main System Settings looks like on my end, in Monterey.
By the way, your model identifier is either
iMac16,1 (1.6 GHz) or
iMac16,2 (2.8 GHz). Maximum system version is indeed Monterey.
I will post a screen grab of the main settings window when I can find the time to fall back. The only reason I still have a working Monterey system is I run a couple of really old apps that have not been updated since. And Apple does not make it easy to jump back and forth between versions of macOS.
I’m only glad that macOS 15.2 seems to be on the horizon. I’ve had tons of problems from version 15.0 up to 15.1.1 so I took the plunge to jump up to 15.2 release candidate. Rumors have it that when 15.2 is finally released, users can jump up to 15.2 without going through the intermediate versions. But a number of 3rd-party apps still have problems, especially Adobe, which are the Crown Jewels for the kind of work I do. Shame on them. I have trashed my Affinity suite a while back. They were worse.