Unless you have lots of SRTs per room I'm not sure that I understand the problem. My rooms are named and it is easy to spot which devices need new batteries.
I agree with the original idea. The serial numbers have worn off the stickers on mine and so I have to go into the app and get the thermostat to flash 'Hi' to identify the one which needs its batteries changing. I have a number of rooms with two radiator thermostats as can bee seen in the attachment. Just let me name them 'Rad near door' or 'Rad near window' or whatever I want so I can easily identify them.
I also need this feature, it's painful to find the TRV needing new batteries in a large area with 4 radiators - some hidden behind a cover. I need to walk around the room and test with the 'hi'. Adding a name/label field to the app seems easy enough and would remove a lot of frustration!
I'm a volunteer to alpha/betatest the feature.