Increase the system operating voltage to compensate. If he's at 22 now take it to 36 and have reserve.
As far as I know he shouldn't be sticking his fingers or anything else on any of the circuits while they are active any way.
As for the induction coil standard air core inductance calculations for the given dimensions and operating frequency will tell exactly what the new turns ratio and sizing will need to be.
Say he is running a 5" dia 5" high coil with 5 turns at 40 KHz That gives him and inductive impedance of ~ .5 ohms and an effective energy input ~ 1000 watts with his 22 volt input.
Same coil dimensions but at 60 KHz with 15 turns and a 150 volt input gives him~7.5 ohms and an effective coil energy input of ~ 3000 watts.
Take the same coil up to 300 volts and drop it back to 40 KHz and it's good for ~18 KW and about the realistic limit he could runoff a 240 VAC 100 amp power circuit factoring in system loses and a bit of circuit overhead.
The way I see it given the size and capacity of his switching devices he has loads of room to cheat the system with just by changing input voltages which given since he insists on running off crappy rewound MOT's it's way faster and cheaper to do rewinds than go after theoretically optimal capacitor bank design.