Switch mouse buttons -- also for lock screen

I switched mouse buttons to left-handed, I did this for all user accounts.
But when I go to lock screen, it often behaves at default settings.
How can I switch mouse buttons for the whole local machine, even lock screen?

I do not have an answer for your question, but have you consider disabling the lock screen as a workaround?

Wheelabrator said:

I do not have an answer for your question, but have you consider disabling the lock screen as a workaround?

1 how to do that? win 10 RS3
2 how will I choose between my various user accounts, if I have no lock screen?

If you by lock screen means the screen that shows time and date and you click on it to get to the login screen, then here are instructions how to disable it. I have done it on my computer.

Enable or Disable Lock Screen in Windows 10 Windows 10 Tutorials

Wheelabrator said:

If you by lock screen means the screen that shows time and date and you click on it to get to the login screen, then here are instructions how to disable it. I have done it on my computer.

Enable or Disable Lock Screen in Windows 10 Windows 10 Tutorials

Thanks. I guess I meant to say log in screen, not lock screen

Ok, sorry about that. It seems like others have the same problem but no solution:

Why does Windows 10 only allow the left mouse button for user - Microsoft Community