If the tank has a heater like this

then even halfway up, it is likely to start a circulation, so we are looking at the shape of the container, and a rooms shape is not the same as a water tanks shape, we use a water tank shaped like a cylinder because we want it to not circulate, with some tea boilers we put baffles in them to stop the circulation so we get repeated cups of tea with a tap near bottom of the tank, we design the vessel so cold at the top and hot at the bottom, reverse to nature.
With the back boiler we wanted a tall tank and the water would be hottest at the top, and the water was circulated by the boiler putting hot into the top and drawing cold from the bottom, latter we used hot coils, so the water did not mix, but my childhood house, there was no hot coil, the Aga heated the actual water which came out of the taps, and the water did not suddenly go cold, but was more gradual as one ran a bath.
Today the digrams are more theoretical, the diagram here shows one tank,

in real life there were two massive tanks upstairs so if there were a mains failure the water would still flow from back boiler to tank, and the floor was reinforced to take the weight.
It worked well, however it really has to be part of the house design, not an afterthought. The same goes for other ways to store heat, with the home built around the system, they work well, but not as an afterthought. UFH
has to be part of the design from the ground up. The Hypocaust has been around for a long time. But the early installations were not automated, that looks a nightmare to clean out!
I have talked about on another thread about having an under sink DHW heater, and as I progressed, I realised just as easy to boil a cup of hot water and add it to the cold in the bowl. Talking about it on the forum, made me realise today there is no real need for hot water from the taps. But getting a bit old in the few teeth I have left, to change.
My daughter has a shower in the evening, we would take a shower in the morning, reason she has one in the evening is in Turkey where they have their holiday home, water is heated by the sun, so more hot water in the evening.