Mmmm, remember hot water draw may be quite low in some households re chlorine levels in the CW tank.
Washer pulls from cold. Electric shower pulls from cold. Dishwasher pulls from cold.
In this situation a conventional CW & immersion tank may have old stagnant water in it, since it is refreshed so rarely. It is these circumstances where ironically filling the toilet from the CW tank can be an idea (quieter too although slow).
I know this has caught out some district nurses finding "manky" hot water because the amount used is a few litres per day (maybe 10) with the CW tank holding some 250-300 litres. They tend to take cold water that has been boiled by the kettle. Takes nearly a month to turn over the CW tank with the chlorine level probably far below useful levels?
So do not assume the CW tank is "fresh", it may not be.
BTW, the usual "lurker reminder" - CW tank should be heatproof, covered re birds & insects, working safety stat on the immersion or a stat changed to a dual temp/safety version.