Some older equipment never had provision for 3 prong cabling with ground. Perhaps in these cases and if one had an issue with some ground loop hum, you used a cheater plug and the world was right again.
It’s really not the preferred way to deal with a ground loop issue. IMHO, at best, it is a way to diagnose a ground loop issue.
Important to know why that ground pin is there. It’s there to carry voltage from the chasis to ground when there’s an internal short. This can be 15A to 20A, the full current at the AC input.
We recently had an a’goner who had a partial short. The current went from the chassis, through his interconnects to the next piece of equipment and burned it out. He literally reported feeling a tingling when he touched the chasis. That was a huge sign something was wrong. Had he had a full short a fire could have started by having 15A going through the tiny little grounds in the interconnects. Had he not had the interconnects and been barefoot he could have had an electrocution.
If you are sure your house wiring is good, and absolutely cannot diagnose your audio any other way, the best solutions are the small hum busters. They do disconnect the ground, but restore it on a short.
Other AC issues which can cause hums are DC on the line, as well as a lifted neutral. The usual way to deal with DC is to find the source. Turn off every other breaker and device in your house. Sometimes things like LED power supplies can cause massive amounts of DC. A neutral which is not actually well bonded to ground at the service entrance can do similar things. That's why I suggested the inexpensive test plug to start.