Plus even when the Logitech mouse has been moved to a different PC, the former PC will continue to get Logitech updates anyway.

Apparently so they will be one step ahead of you in case you decide to plug it in again sometime.

Graphics cards can do this too, you remove the card and go back to the motherboard's built-in HDMI port, then one day here comes a big update for the non-existent graphics adapter.