Because the roomstat is set to (say) 18 it will switch off the whole CH system when the temperature reaches 18. By setting the nearby TRV just below 18 (by turning it down in small steps until the room warms up slowly enough) the roomstat will stay on long enough for the rest of the building to heat up under the control of the other TRVs).
The key problem is when the roomstat really is in the warmest room in the house: that is, not only 'warm' but also slow to cool when the roomstat switches off the heating. Then, by the time the roomstat calls for heat again, other parts of the house will be overly cold. I sort-of assumed that the builders in this case could not REALLY have been so dumb as to put the roomstat in such a place. If they did, and other parts of the building show big swings of temperature, then the only thing to do is move the roomstat. The presence or absence of a TRV in the same room is irrelevant.
Just because a room is 'warm' relative to others does not necessarily mean that the roomstat will not work in it. For example, the original postings described an upstairs room with two rads - I'm getting the impression of the living room of a town house - and the roomstat. OK - the roomstat will presumably be set to (say) 20. Turn down the TRVs on both rads a bit and delay the switch-off of the roomstat. Rad downstairs in kitchen (with TRV wide open) keeps going and warms up kitchen and corridor. Warm air rises up the stairs and helps warm the living room, at which point the roomstat switches off.
But if the kitchen and corridor downstairs are cold because the (single) rad in the kitchen is actually undersized - that's a whole different and much more expensive problem. That can easily be checked by just doing the sums.
The key problem is when the roomstat really is in the warmest room in the house: that is, not only 'warm' but also slow to cool when the roomstat switches off the heating. Then, by the time the roomstat calls for heat again, other parts of the house will be overly cold. I sort-of assumed that the builders in this case could not REALLY have been so dumb as to put the roomstat in such a place. If they did, and other parts of the building show big swings of temperature, then the only thing to do is move the roomstat. The presence or absence of a TRV in the same room is irrelevant.
Just because a room is 'warm' relative to others does not necessarily mean that the roomstat will not work in it. For example, the original postings described an upstairs room with two rads - I'm getting the impression of the living room of a town house - and the roomstat. OK - the roomstat will presumably be set to (say) 20. Turn down the TRVs on both rads a bit and delay the switch-off of the roomstat. Rad downstairs in kitchen (with TRV wide open) keeps going and warms up kitchen and corridor. Warm air rises up the stairs and helps warm the living room, at which point the roomstat switches off.
But if the kitchen and corridor downstairs are cold because the (single) rad in the kitchen is actually undersized - that's a whole different and much more expensive problem. That can easily be checked by just doing the sums.