It will take a few days to warm up once you start heating
Yes, I was wondering about that. I've just been reading that some suppliers recommend not letting the floor temperature drop below 3°C to 4°C of outside temperature because of the time it takes to warm the floor up again. As I will be heating the whole thickness of the floor, some 7" or 8", it's going to take a long time to heat up from cold, as you say, as I'm not too keen on keeping the floor heated when the house is empty.
On the other hand, it will be a large heat source and once warm may hold its heat long enough during the day if the house is empty, and again overnight after the heating has been on in the evening.
I suppose most underfloor water heating pipes are buried in just a couple of inches of screed. Do you know how long these stay warm for before they go stone cold and do people tend to keep their floors above a minimum temperature all winter or just switch on the heating when needed?