Update...
I received on Saturday a new SCR sent by Drayton/Schneider Electric. I installed it when I came back in the night. I paired our thermostat (I had taken its battery out as there was no point fighting with the ghost thermostat) and set it to a low temperature. Sunday morning our flat was cold so I hoped it was fixed but also considered the possibility that our neighbour with the ghost thermostat may have gone away for the day and lowered their thermostat. As Sunday was cold I raised our thermostat and heated our flat. In the afternoon and evening I noticed on a few occasions that the SCR green light was off (and the boiler off) but the flame symbol on the thermostat was on. Basically the problem remains but this time I had set our thermostat higher than theirs. I've put back our thermostat to 10ºC and our boiler is currently working, obviously controlled by these neighbours who must be back home.
So contrarily to what Drayton/Schneider Electric customer care suggested, changing SCR unit to a recent one has not fixed the issue.
This does seem to confirm my diagnosis that the ghost thermostat and mine are viewed as one and the same by the SCR unit. They must send the same id (even though as discussed earlier they may have been programmed with longer different ids, the portion they send must be identical).
So one option is to get another Digistat thermostat and hope that its id would be different from the surrounding Drayton thermostats. It feels like Russian roulette. If Drayton wants to send me one, I'll try that solution, but I'm loathe to invest further in a system that seems broken. Another option is to replace the current installation with a competing system such as the Honeywell, which is the option I'll go for if I have to invest in it. However this will unfortunately most likely have to wait after the xmas holidays, and we may have a large gas bill if our neighbours with the ghost thermostat are staying in and setting their thermostat high.