Gran had that setup in her sheltered flat. It was terrible, really really terrible.
Floors were hard because she could only have thin carpets, and temperature regulation was really really rubbish. Part of the problem was the south facing window - so on sunny afternoons the place would be roasting but still getting heat from the uncontrolled storage heater (aka floor slab). But that was only part of the problem - as mentioned, heat output is highest in the early hours when fully heated, and lowest in the evening (when you most want it) as the slab cools.