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Not sure about battery life (touted as two years with standard AAs - there are workarounds to allow you to use rechargeables) but until the windows are replaced next month, it's not a fair test as no sooner do they get the room up to temp, all the celciusses fly out through the merde fenetres and they have to kick into gear again so will likely be using more power at the minute. There is a whirr from the actuator when the TRVs go on and off, but it's not loud enough to wake you or prevent sleep. So I'd say it's not a problem unless you are super sensitive to that kind of thing.
Less economical than wanting one particular room heated so upping a central wall stat and running round turning off other rads? Also, convenience. I can turn the hot water on and off from my phone or the wall stat downstairs to heat up for mini_com's bath instead of either going upstairs to the back bedroom, reaching into the airing cupboard to turn it on or off. Or setting a schedule for the hot water only for mini_com to decide that bed/bath time is an hour later/earlier than it was the previous day.