Possibly, possibly not. Your 10kW shower can take 40 amps, and two of them can take 80A. What size is your main fuse ? What other loads do you have - such as electric oven and/or hob ?Rather than ripping out this system and spending money on a Mega Flo wouldn't a more practical solution be to just install good quality electrical 10 kW power showers in my two new loft rooms and the new first floor en suite?(pp pending)
It might not seem a good idea if, while preparing Sunday lunch, two people decide to shower and you lose the electric supply to the whole house and have to wait for the supply utility to come out and change the fuse
And even a 10kW electric shower isn't going to be the geyser you could expect from a stored hot water system - heat bank PHE are often rated at 100kW or more.
Such questions would be best asked over in the Uk Electrics section - but be aware that there are some equally obstructive trolls in there as well, so get your flameproof virtual underwear on first
The beauty of thermal storage (in whatever form) is that it's relatively easy and can be designed to cope with short term peaks in demand. Anything instantaneous is limited to the supply capacity at that time - whether that's electricity supply capacity restricting the size of shower, DHW coil restricting draw off rate/temp from a thermal store, or boiler capacity for a combi.
What you would need to do is work out available flow rate - which has already been mentioned several times. Hopefully Agile can tell you the best way, I think I know what I'd do but it may be wrong - I'd be disconnecting the house plumbing from the supply stopcock, and attaching a temporary pipe that I could direct into a bucket for a few seconds to see what comes out with no restrictive pipework between stopcock and taps etc.
You then need to work out what realistically you want to support. If showers, then what flow rate, how many at a time, and for how long. If baths, how much water, how many for a given space of time.
Also, consider if it would be acceptable to lower flow rates/pressures to limit demand. Eg, when a third shower is turned on, would it be acceptable for the other two to reduce in flow rate ? This can be achieved and would go some way to reducing your problem.
Given that supporting the theoretical maximum demand could be complicated, bulky, expensive, or all of these - do you want to scale back on anything ?
Only when you know all this can you work out :
If it's even possible with instantaneous heating - note that even if you put in a large combi boiler just to supply the extra showers, you'd probably be restricted in gas supply.
Given that you almost certainly won't be able to do it with instantaneous heating, how much storage you will need.
And of course, decide on what type of storage to use.
My preference would be for a thermal store as you have but larger and with higher capacity DHW coil, possibly with a PHE as per my earlier drawing to ensure that this isn't the limiting factor in the system. An unvented cylinder would work as well, but I believe it would give a less graceful degradation when you hit the limit and a longer recovery time before the hot water was usable again.
A larger unvented cylinder would give you a longer "run time", but for a given heat input a corresponding longer recovery time - and of course higher standing losses from the larger surface area.
Again, I think you need to find yourself a proper engineer who fully understand the issues - rather than a "general plumber" (for want of a better term) who may only be able to guess and provide a system suitable for a smaller house.