Defeating a ground for an appliance is a very serious problem. The device has been designed with things like isolation distances and insulating layers based on the assumption that exposed conductive chassis will be grounded.
An ungrounded appliance will have another design, with more insulation and no exposed metalwork.
Oh, sweet summer child.
You forget that not everything was build recently, with modern safety standards.
The device in question is an old device originally built without a ground (so no ground to defeat). It’s also a metal chassis. It used to be very common to have exposed metalwork, or even live chassis.
The question being asked is whether adding a ground to this device introduces any
new hazards.
P.S. It’s a common misconception that exposed metalwork requires grounding, even in modern devices. It does not. You can go to any electronics store and buy things like DVD players, stereos, TVs and toasters that have metal housings and are mains powered without a grounded cord.