The hot water is using around 9 to 11 kWh a day @ 3.3 p per kWh for gas.
Thanks. That's a fair bit more that I am (now) using - which averages out at 5-6 kWh per day. However, as you can see from the graph below, before I upgraded from ~200mm to ~600mm in around May 2018 I was using not that much less than you (around 8-9 kWh/day. I therefore would imagine that before I had even that extra 200 mm of insulation, I was probably using at least as much, if not more, than you ...
Are you serious with 600mm of insulation...is it rockwool or something similar.
Yep, deadly serious
It is a large cupboard with a 'floor area' of roughly 2m x 2m, and at least 2.5m tall. The cylinder is sitting on a slatted shelf a couple of feet about floor level, and behind a slatted door (seperating it from an 'airing' area, which still gets reasonably warm!) and the entire cupboard, is crammed (around all sides of cylinder, and above and below it) full of insulation - basically everything I had to hand, but mainly rockwool and fibreglass etc.
Did your cylinder come with any factory fitted PU insulation?
Yep - although, as I said, I'm not sure how thick - quite probably only 25mm, since it's fairly old.
Is it installed in a garage or loft?
No, but it's in a part of the house which is not heated all that much - as you can see in the above graph, there is, even now, still a fair bit of seasonal variation.
Is your electrical monitor reliable?
Extremely reliable. Over the period since my electricity meter was last changed, it has recorded a total of about 32,000 kWh, and the total recorded by my monitoring system during that same period differs from the meter by only about 30 kWh (i. an error lf less that 0.1%). Although probably not clear from the title of the above graph, it essentially relates to just the immersion circuit.
Perhaps the cylinders poorly piped such that heat can be lost through conduction.
I'm not sure what you mean by 'poorly piped' but, other than when water has recently been drawn through them, the pipes are not warm to the touch any significant distance from the cylinder.
Kind Regards, John