This is why I never ventured into BT mouse because I'm kind of a picky demanding user for CAD. Any lag or issues would set my hair on fire. Although... I see lots of people happily using them.
Just to help muddy the water Peter, I've been happily using a BT mouse for what might be 25 years. I prefer them. I don't recall a problem.
I have had lag problems with USB Mice though. Hair on fire would be an understatement. Man I hate that when it happens. Usually it can be fixed or improved by moving the mouse connection to a different port. Certain software seems to make it worse.
If you can successfully use a USB mouse, consider getting a USB Dongle wireless mouse. They are very popular and work quite well. The Dongle is a tiny USB device with a radio in it. Microsoft and Logitech sell them.