Interesting - does anyone else wonder about having "bare wire" immersion heater elements ?
Looking at the specs, even the most powerful unit will only give 8l/min - less than 2 gal/min - which is not going to be stunning at filling a bath. If it could be connected to single phase, it would be pulling 117A (according to the spec sheet) and the DNO would certainly have something to say even if you didn't blow the main fuse.
If electric has to be the source, I'd have suggested sticking with a cylinder for storage. People will warn you about standing losses, but if you are sensible then that's not an issue. Lag the cylinder and pipework well and losses will be low, if it's inside the heated part of the house then any "losses" aren't actually lost as they'll contribute to the heating - so only losses for part of summer when there's no heating needed.
Once you've got storage, you can size the heating to what the supply can provide - and also use off-peak lecky as with all electric heating it's quite likely that it'll pay to have it.
Personally I'd be considering a thermal store (or heat bank). Do it right and you can use it to store off-peak heat, and run both the heating and hot water from it. While there's a bit more to it than an unvented cylinder, you get to avoid the problems of storing large quantities of hot water under pressure
You can either buy (at great expense) an off the shelf system, or with a bit of thought you can make your own from standard copper cylinders, some pluming, and a heat exchanger.
On a side note, some years ago I recall we had a consultant in at work. He lived in a small village at the end of a long local distribution line. All the houses had night storage heating - and they had "problems" due to the massive change in load between heating on (low voltage) and heating off. In particular, they had problems with the voltage spike in the early hours when the heating loads switched off.
Your neighbours are likely to notice you switching on/off a huge heater !