Fireman, your trouble is too much earth leakage on the rcd consumer unit!!
Bear in mind anything with filters (eg PC's , monitors, switch mode power supplies etc) will have high leakage currents to earth. A typical amusement machine may have as much as 1mA leakage. If they have say, 30 machines connected overall (which is probably an underestimate) - then you are on tripping levels already - without any earth fault!! If the unit is fairly loaded up with lots of electrical appliances (as it probably is), then you either need to tell them to cut down on the number of machines they are running from those 3 ring circuits , or if they can't do that then install individual RCBO's for each 32 amp ring.
If the EFLI is low enough then you may get away with a 100mA RCD to cover the whole board - but only if theres no outside sockets.
Considering the public are using these machines and they are all 'Hands On' appliances, keeping them on RCD would be quite wise.
Can't you get them to switch the individual MCB's on instead of throwing the main KMF switch all the time?? Alternatively why not wire the rings into 32A DP isolators , and get them to put the main switch then switch the isolators one by one.
Have you considered changing the 30mA Rcd for a like for like (well branded) version. The latest ones are much better at coping with transients!
Seriously I reckon theres too many machines running from that unit. I have wired an amusement arcade in the past, and I ended up having 6 seperate consumers (60A feeds - 2 consumers per phase) , each with 3 x 20A rings , and each consumer having 30 mA RCD protection across all rings. All because of the known 'High CPC currents' that ths type of equipment have!
Where a situation of tripping occured where there was no circuit fault , reducing the number of appliances (or shifting them to a different consumer circuit ) solved the problems, and now it runs with approx 150 pieces of equipment.
Have they had their equipment PAT tested? Maybe theres a really leaky appliance!!