Local codes trump anything I say here.
For power amps, I think there's limited utility of residual current/ground fault protection. The amps and speakers are unlikely to provide a current path to personnel.
For consoles and backline gear, there *can* be a current path to performers on stage. A faulty console can feed a hazardous voltage via the shield of a microphone cable, charging the grille. A performer contacting the microphone with lips while also contacting the grounded steel strings of a guitar could, conceivably, receive a shock. Or the opposite: a "vintage" guitar amp with a two prong plug and a faulty stinger cap could charge the strings, then the performer "grounds out" through the microphone. It's not just hypothetical; people have been killed this way.
The same techniques that are used to combat "ground loop" hum -- proper earthing/grounding of everything, with signal ground lifts between separately powered equipment where needed -- can also improve personnel safety. (Except for lifting the earth/ground of the mains power -- don't do this, ever!)
An RCD/GFI that trips during a performance harms the show. If it protects a performer or personnel from injury, that's a good thing. But if it is a nuisance trip, that's a bad thing. You'll need to weigh the risk of injury versus the risk of false trips and decide for yourself whether protection is needed.