I am amazed that with all the actions included and three buttons on a mouse that allows to connect to three devices that there is no option inside logi options that can let you select device 1, 2 and 3 with the side buttons. Why isn't an option?

Dozens of options for gestures, AI and scripts.. but not allow to select device per button?

Additionally, why does selecting the device on the keyboard not automatically change it in the mouse as well? I am dumbfounded by the extensive options included in logi options that did not include such basic features.

It seems to be the most obvious features to include. I am using an MK850 keyboard/mouse combo.