I don't personally go down the wireless mouse route -- in fact, in general, I'd rather not use wireless and especially Bluetooth devices, due to reliability, latency, security, needing-to-worry-about-battery-charge, and privacy (due to broadcasting a unique ID that any nearby cell phone will relay the position of to Google, Apple, or similar). But I'd say that aside from that, most of those are advantageous, and a lot of people out there don't care (or don't know about) wireless drawbacks, so for them, even those are a win.
The main complexity item I can think of is the buttons. Maybe back in the day, few set up Mouse Button #5 to be "drag window" in their window manager, as I did, so I could drag windows anywhere rather than on their titlebar. However, the browser "back" and "forward" functionality that I believe is the default in all desktop environments these days seems pretty easily-approachable.