John, I mentioned the Whale only as one you did not mention and the quickest, not suggesting it was instantanious just as fast as it gets legally in a touring van.
As for my figures, 22mins/13litres = 100 seconds per litre for round figures, which is well under the 2 minutes I mentioned, but also 5C less!, looks like the original set temperature then was slightly higher? taking more of that 2 minutes to reach.
But, if someone showers for 5 minutes, in that time several more cold litres have heated up, so given a short pause in the middle while 1st one dries off, enough water has been reheated for someone else to shower straight after, and again and again if required!
Not instantanious then but as far as a family is concerned, give or take continual perhaps?
Given what I do, this might be looked upon as hearsy! but I've had one since their beginnings, found it faultless now for what? 4 years? and does what it says very well