In this situation all you can do is present the client with the facts and explain that if a new installation were to be added today then the way it is wired currently would not be acceptable.
This is where a clamp meter is worth it's weight in gold as you can prove to the client what current is being drawn. It doesn't take a mathematician to evaluate the results recorded on the meter.
I personally would sow the seed for installing a new 10mm radial circuit and make the client fully aware that there is the possibility that the shower as it is may become a nuisance if the shower is used for a longer period of time BUT it's THEIR decision.
I live in a property where the shower would trip the MCB which meant having to wipe bubbles from my eyes, get out and go down to reset. The problem was though as the MCB had got to a certain temperature it would take about 10 minutes to reset. Once reset there was normally just about enough time to get rinsed off and get out. The worst time was I was sat next to the CU trying to reset because the wife had been washing her hair, trip, trip, trip, trip, trip..... Haven't you done it yet? Trip, trip lol
Eventually I replaced the board and used 60898 mcb's and never had a problem since, everything the same apart from the breaker (Old 30A mcb replaced with to a 32A EN60898 on 6mm cable)
As mentioned though, So long as the MCB is rated lower than the maximum current carrying capacity of the cable (taking into consideration any influences such as insulation) then the only bother is the inconvenience. The protective device is only doing exactly what it is designed to do therefore eliminating any risk to the user - Well, unless they drip water all of the mcb/CU when trying to reset? lol