I used Logitech mouse on a Mac few years ago. I used Windows PC to configure it and it remembered all stuff inside. I did not install anything on Mac, it just worked. It's a pity to hear that they broke it.

I used Asus mouse. It was truly underwhelming, even on Windows. It did not remember its settings, instead some "driver" software applied those settings on Windows startup, which caused mouse device to disappear for a few seconds every time I booted my computer with annoying plug-out, plug-in sounds.