Huh, interesting. I have an older Logitech G700s mouse, so it uses the older Logitech software. I never had any issue with it on a Mac. I only used it occasionally to adjust the onboard settings, and then forget about it for years on end.
I now have a G703 (so new G Hub software) and while I haven't tried that on the Mac, I can configure the onboard settings from Windows or from Linux [0] with no issues whatsoever (aside from setting a button to show the battery level, which, for some reason, doesn't work).
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[0] The Logitech software doesn't work on Linux, but Piper/ratbag work just fine.