"Every computer where I've replugged a ps/2 mouse, it worked just fine."
PS/2 is not a hot-swappable port, by design. Your hot-swap adventures mean you started out using more modern motherboards (2010-ish) which simply have an internal USB-PS/2 adapter for presenting PS/2 ports.
PS/2 is not a hot-swappable port, by design. Your hot-swap adventures mean you started out using more modern motherboards (2010-ish) which simply have an internal USB-PS/2 adapter for presenting PS/2 ports.