My son has installed under floor heating. Main idea is to get rid of the excess heat produced by the wood burning stove. Water has one huge advantage the floor can only get as hot as the water so there is a limit how hot it can get.
With electric using a chemical compound which increases resistance as it warms up you can get some where near the same result. This was first developed for trace heating. But many systems still use a simple resistance wire these are also split into two types some have around 2 meters between connections and the cable can be cut to nearest two meter link point others are all or nothing.
Major problem where water may be involved be it a wet room or utility room is either whole lot needs covering with an earthed mat or a special type with earth is required.
However the biggest problem is to get that heat into the room. The maximum temperature of the floor is 29°C and your aiming at getting room to 20°C so just 9 degrees. With a radiator 65 ~ 80°C so although a greater area still had to get heat into the room. With a carpet or timber floor temperature down to 27°C maximum and since the heating is unlikely even some bits will be a lot cooler.
I fitted electric underfloor heating to a wet room for my mother any hotter you could not walk on the floor but with a standard extractor fan running could not get the room warm. Fitted a towel rail not even a proper radiator and room far warmer underfloor heating is now never used.
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here it's only really any good when it's a well insulated room needing very little heat. 100W per square meter is not much heat a 6 x 6 foot room will have 334 Watt to reach 1kW needs a room 12 x 9 foot.
In Chester there is a good example of the Roman hypocaust and when we had the technology 2000 years ago why do you think it was not used. Simple Britain is too cold.
There is another problem that wet room took 2 hours for the floor to get to temperature the room never did get warm but your looking at switching the heat on at least 3 hours before it is required. So if you use the room for 3 hours it will cost twice as much as using a fan heater.