Here, all ground floor doors are left open, apart from back door and outer back door, whole house is heated to a similar temperature so why not. Exception is that they are closed to limit noise.
Upstairs doors are always closed, except when rooms are occupied, to limit heat rise from the downstairs. We prefer bedrooms cooler and it keeps one of our dogs out of bedrooms. Stat is in hall, which has a direct to outside door, but which is rarely used, normal ingress and egress is via side/back door. Layout works well, I have wax TRV's on all but the hall radiator, they tend to be a waste of money on the downstairs rads.
That was the same with our open plan house, forget and leave a bedroom door open, and the room was way over temperature, the old wax TRV helped a bit, but radiator too far away from door really.
The use of TRV heads with temperature set in degrees C was a huge step forward, mainly because we knew what the set temperature was, so if it over shot then close the lock shield valve, and if it did not reach set temperature open the lock shield valve. Point is of course if we knew the set point temperature of the old wax TRV heads they may have also worked.
We now have a larger house, so don't know how it will work, but what I did find was never a problem getting upper floors warm, upper floors it was over heating that was always the problem, so in this house upper floors are controlled by cheap (£15 each) bluetooth TRV heads, entrance floor however has the more expensive (£40 each) wifi TRV heads which link to the wall thermostat, so if I change the temperature on Nest, all three rooms auto change to same temperature. Odd one out is kitchen, using a cheap head in kitchen as that has the outside door used to bring food into the house, and the cheap TRV head has a window open function which if it detects rapid cooling turns the radiator off for set time think 1/2 hour, so not heating outside, this feature is not on the more expensive ones. However as yet all untested.
In mothers old house I was surprised one how well they finally did work, and two how long it took for a single room to heat or cool, one problem was the built in anti hysteresis software, I had to cheat in the morning 7 am set to 24°C and 8 am set to 20°C other wise it was 11 am before settled at 20°C, and switch whole central heating off at 10 pm with a second thermostat in parallel in the kitchen set to 14°C in case there was a really cold night, but most mornings at 7 am temperature had only dropped to 17°C and that was with a threshold free front door for wheel chair which did not seal very well.
I can see why people don't want to spend £40 a pop on TRV electronic heads that link to wall thermostat, but simple heads which are stand alone start at £10 each which is no more expensive than a wax one, since we find it hard to read the display, I have the bluetooth version so I don't need to kneel at the TRV with magnifying glass to set them, but still only £15 each. Just can't see point of fitting wax ones.