I guess that you mean that you have an ATAG 325ECX which is undeniably a very good boiler (I know, I am one of ATAGs registered service team) but there is no way that I could recommend that combi for any home with more than one bathroom and an en suite..... Any more than that and its a properly installed unvented for me...
I am with you there, as 1.5 baths with modern low capacity bath as its limit. I do not recommend the this model for 2 baths or more. I have a home with 1.5 baths and it copes very well. Learn form people who walk the walk. It was touch and go to get this or a larger hot water flow model. Balancing the hot and cold water taps and having a 22mm pipe from the water main stop tap only for the cold feed to the combi and some 10mm pipe to taps made a difference to get the best out of it.
An unvented cylinder is dependent on the mains supply as is the combi. A top ATAG will give 25 to 26 litres a minute, you should know that, which is about the same as most unvented cylinders, as they have flow restrictions in al, the valves they have. Believe me I checked all this out.
I seriously recommend that in this case of three baths, if the cold water mains is fine, that he gets the biggest ATAG available, which are about 25 to 26 litres a minutes according to the ATAG web site. I advise that he uses flow restrictors, as ATAG recommend, as the hot and cold taps. A basin only needs about 3 litres a minute for hot and cold taps (6 litres in total). I ran 10mm soft copper from the combi and teeded off to supply both basins. It works great. We only use the basin to wash our hands. The teenage daughter occasionally washes her hair in the basin but I have never heard her complain about poor flow from the basin. A toilet needs about 5 litres flow to fill it, not 20 litres as most have when on mains pressure. The hot showers and bath taps have full flow. The co-incidence of three baths being filled at once is miniscule.
The same approach is used fro electrical circuits. You can have 10 double sockets on a ring. Plug in 20 3 kilowatt fires and turn them all on and see what happens. They size according to "average" use. A home does not operate the same as a hotel in water demand, which sized to maximum use. A home should sized to "average" use.
Read my reasoning above. He can fill three baths consecutively in 10 to 15 minutes with a large ATAG combi. An unvented cylinder can't match that in performance, unless the cylinder is a "large" very expensive heavy job. A large ATAG can even fill two baths simultaneously as both will have about 13 litres a minute, which is fill both in about 8 minutes.
When assessing my house, a gradually realized that an unvented cylinder would be a waste of expensive time and space in the house. Economically it did not stack up. In running costs to the 325ECX it did not stack up.
I don't know if you are just a service man who only fixes boilers. However, installation is a very different matter.
EDIT:
I did have a number of plumbers around and most said put in an unvented cylinder and system boiler. Some boilers they recommended were not the top quality models. One recommend a cold tank, cylinder and power shower pump. He was sent packing. I got a cheaper job with superior cheap to run boiler and saved a lot of money and space. I do not have faith in jobbing plumbers.