Hello, I stumbled on this post and had the same issue a few hours ago. Options was loading a blank screen. The first thing I tried fixed it for me. I right clicked on Options on the taskbar, right clicked on Options again inside the context menu, then properties and compatibility. I changed for all users to run as administrator. I am logged in as an admin but I have it set to use UAC on demand. Options didn't prompt this confirmation, but I think it used to. Anyway, it fixed one problem for me and Options now loads so I could confirm my mouse was connected.
The reason I found this, and the reason I was trying to open Options in the first place, is I suspect a compatibility issue with Stardock Multiplicity and Logitech Options. This may have to do with Logitech Flow, although I don't have it enabled.
I'm using Multiplicity with MX Ergo mouse, and on the remote pc the scroll wheels don't work. But they do work if I switch the mouse's wireless channel to the remote pc. (connecting the second channel was when I discovered the blank screen in Options)
I'm going to try the fix suggested for Fences, since I have that running as well.
I hope this helps or jogs something loose for someone following this post.