If you do ever run into such a mouse, where the cord entering the mouse is obviously a problem, you can chop the cord off right there, drill it out, and feed the cord through the hole with a little silicone glue. Then on the inside of the mouse, you can reconnect the wires where they go.

I even had good luck with some mouse cords where the plug was chopped off. The recyclers were so quick about their business that they chopped the end off instead of disconnecting from the keyboard. I carefully sliced the ADB connector along the seam on one side and split it open. Once opened, the insides pop right out, and with just a slight pry on the metal sheath, the pin assembly also pops out. I soldered the wires back on to the backs of the pins, reassembled with super glue, and tightly wound tape around it for a good while. I did this successfully to several mice, including some of the original ADB mice. I did the first one with silicone glue and you can tell, but the rest are very good, I scraped away the glue that squeezed out and they look brand-new.

The first one with silicone ended up with something touching ground inside the connector so that's the one that makes the Mac shut off! It took me a few tries but I did eventually fix it. A smarter guy might have run a quick continuity test before risking one of his Macs' ADB. Gotta learn somehow I guess.