Will I die? – Yes. Eventually.
Am I being stupid? – Living in SE Asia – yes.
Can it be mitigated? – Death or Asia?
Can I check if I’m being stupid or within tolerances? Yes.
When I turn the fan or aircon unit on, the monitors turn off and on again.
Sounds like the power surge when switch the a/c or fan on is causing a drop to the supply to the monitors, then on the initial surge is over, the required power returns.
Work out the total power consumption of all the different items and then compare that to the rating on the RCD/trip.
You could die if the trip is rated too high for the actual size of the wiring installed and then it becomes overloaded and can over heat and start a fire.
My guess is that he installation would be way below UK regs but that doesn’t necessarily mean it is dangerous.
If your concerned a lower rated “trip” is safer than having on that is too high.
Get a decent leccy out and get him to have a look.
IANAE.