I did look at heat pumps, most seem to be inverter drives, so no real inrush, I know using a clamp on does not really give starting current as many are too slow responding, a B32 will trip at 5 times so 160 amp, and I have used a clamp on which set to show max showed 100 amp but it tripped the MCB so clearly taking a lot more.
I had a small welder with 13 amp plug, and it would trip a B20 but OK with a B32, much depends on how the amps are set, those with a moveable iron core often you can wind out the core, switch on, then set to current required, but if switched on without winding it out first, it would trip the supply.
But we have an inverter welder 160 amp and never had a problem on 13 amp supply.
Today we fit SPD so they should get rid of spikes, but son has lost loads of LED lamps, and myself very few, which could well be some one using a welding set near him, but near impossible to prove.
The form seems rather dated, my fridge and freezer are both three phase, and both are inverter controlled, but connect to a single phase supply, and set the energy meter to record max current use and one can see it show 140 watt each time it hits the defrost cycle, but the older single phase units would hit around 7 amp each time the motor started, so far more disruptive.
Basic fact is a welder is not a domestic appliance, but if it does not trip a B16 MCB/RCBO unlikely to cause a problem.