In our new house we have a small radiator in the airing cupboard - no surprise there, that's common. But it does not have a TRV, just ordinary valves. I guess I haven't looked too closely elsewhere, is that the usual way of doing things? (I have never lived with a pressurised system before - only short term visits.)
We don't want the airing cupboard to be baking, just a slight background warmth is probably enough. Do you just turn down the setting and hope for the best? Or fit a TRV? Or do they tend not to get that warm anyway?