The radiator in the room where the room stat is, shouldnt have a TRV as they will work against eachother
It is correct practice to have room stat and no TRV in one room, the rad will also act as a bypass for your system as lockshields never close themselves down as TRV'S do
Yes you should have a room stat, NEED? no, but why get rid of it?
To test if its working run your CH let it run for 20 mins, then turn in down 2 say 10 - 15, this time of year should knock off, see if boiler goes off, turn it back up see if boiler comes on