Ok, I didn't read or follow the instructions, or replace the batteries - just did what I have been doing, with the exception of having the stat a couple of metres from the controller, and it worked
Interestingly though, the other four stats I had didn't mind being close, so obviously that one is particularly sensitive. I'd tried moving it closer ( the natural reaction when a wireless device doesn't receive a signal ) but not further away - which should also be an obvious thing to try but for some reason I didn't... so thanks for the suggestions.
I really like the EvoHome system... I'm amazed that it isn't promoted more heavily. It's a far better idea than any of the so-called smart thermostats such as Nest, though of course a lot more expensive. There are some elements that are a little strange though, such as the fact that if my neighbour had the system, I could easily control it using a HGI80 - that's a little scary!