1. How does it compare in terms of response to a wired mouse?
2. How does it connect to different computers (dongle? built in Bluetooth?) and how does it cope with quickly swapping between different computers?
2) Bluetooth or Logitech Unifying Receiver. It has a button on the bottom of the mouse to swap the computer it's paired with and it can be hot paired to three devices, and that works well.
1. Response time is imperceptible
2. It can connect directly via bluetooth, or with a small usb dongle. There is a button on the bottom of the mouse that lets you switch between 3 stored devices. It would be nice remap the device switch to a button on the top of the mouse, but this doesn't seem possible yet.