This little menubar control looks like just what I wanted.
Edit: Yes it works great! On my LG24UD58. Perfect! Unfortunately it doesn't seem to work with my Eizo L568 but that's ancient. And I think it had some special USB-based control method. But really glad to be able to get rid of the LG software now.
PS: You have to enable the contrast with a tickbox, otherwise that slider is not shown.