In our bathroom it would also be totally cold, it has been raining here continuously for two weeks (RLP). At night it is 7-8 °C.
The heating is running and makes it nicely slightly warm.
After just watching last year how 35kwh were blown out per day (the electric car was included), I am now cured of turning on the heating so early in the year. The heating period is too long for that (until mid to late March).
Outside, 3-star beech are waiting, the car mostly charges at work, and the storage is just barely getting us through the night.
Let's see how long we can manage like this without underfloor heating. The most annoying days are those without sun, because during the day the rooms don’t get warmed up.