Back in the late 1980's I came across my first plumbed in boiler on of all places the Falklands. It had a tank full of baffles so the water would not circulate so heated by conduction not convection, this means cold water can come into top of tank while boiling or near boiling water is drawn from the bottom of the tank, this cured the problem of when to re-fill the boiler, it was really important to get into a tea hut on time, as the last person to get their drink would refill it ready for next break so if late one would find the Urn cold.
They did work of sorts, fewer elements required as not boiled dry, and the tea hut could be used at any time. However you could draw too much at one time and last few would end up with cool drinks, and although instant coffee will still produce a drink, if made with water off the boil or not been boiler taste changes. The early models did not have any indicator to show ready. Latter models have lights to say ready or wait.
Instant hot water to wash hands is very different to boiling water to make tea or coffee, and I remember we had to do a risk assessment on if the water did not boil would there be a chance of bugs living in the water, most site tea huts have boilers as much to ensure water safe to drink as to make a drink enjoyed. So the boiler needs filling with potable water just in case the water has not boiler.
With combi boilers many have forgotten the idea of never drink from the hot tap as water could be sitting in a header tank with all sorts in it, our mixer taps did not actually mix, two spouts very close together gave independent hot and cold so they did not mix. With the new combi boiler there is no real reason why instant boiler should not be filled with hot water to start with, so water heated by gas to 60°C plus and only the last bit is electric. With this arrangement you can easy have in essence a 21 kW boiler 18 kW with combi and last 3 kW with electric. With this then it will reheat as quick as one can fill cups, OK filling the mob bucket may run out, but not simple cups of tea or coffee.
I was brought up in an age where the kettle was always on the edge of the solid fuel stove, all we are doing is trying to return to that era where tea was always in the pot, I still have a double tea pot where the water is in the bottom pot and tea in upper pot so water in bottom always on simmer and tea kept warm, it does become stewed after a time, I tried using it on the induction hob, and at home the induction hob will turn down low enough, but mothers house her cheap induction hob will not turn down low enough 200W it too much to keep tea warm. Can't do coffee as the container is glass and needs a bottom which a magnet will stick to for the induction hob to work. We have a hot plate to keep food warm on the table, but that is not hot enough.
I have not seen a tea cosy for years, no reason with induction hobs that you can't use a tea cosy, I think tea out of the pot tastes better than tea bags, and it allows the use of a proper tea glass. But mother puts milk in tea so really no point.