I hooked up a USB mouse just to rule out another piece of the mystery. Not to my surprise, the USB mouse was unaffected while the wireless mouse froze. What was really fishy was that even if I printed from computer B [the host computer] the mouse on computer A would still lock up. This lead me to believe that the problem was obviously coming from the printer itself. My assumption was that some electrical noise was coming from the printer and the USB mouse receiver was getting interference and causing the mouse to be useless. I plugged the receiver in to a back USB port putting it at least a foot away from (rather than 1 inch) the side of the printer and this resolved the problem permanently.
Just thought I’d share this likely rare occurrence with other techs. Anyone with a similar experience or a technical explanation feel free to comment. Thanks for reading.