That's very odd (I've had no other reports of BSODs before).
It might be that the Logitech driver / software is conflicting with the Input Director virtual mouse.
You can try disabling the Input Director virtual mouse (this won't affect Input Director's behaviour, it's used to ensure the cursor remains visible when no physical mice are attached to a windows 10 system) by:
1. Open Input Director on the system in question
2. Switch to the "Global Preferences" tab
3. Disable the option "Keep cursor visible when no mouse attached"
Another possibility is that if the Logitech flow feature is switched on (which is provides a similar function to Input Director) that it is conflicting. Try switching off Logitech flow is that is currently enabled.
I use a MX Master 3 on my Windows 10 system. I'll install the Logi option+ software and see if I can replicate the fault.
Can you open Windows Explorer, navigate to the %LOCALAPPDATA%\CrashDumps folder and email me
any Input Director crash dump files located there.