Yes, absolutely true. Vincent on here (one of the mods) will be able to explain exactly why, but it's my understanding that it's not actually legal there to put electrical outlets in the bathroom unless it's a significant distance from a water source.
We have very strict electricity laws in the UK, which states, there should be NO electrical (rocker) switches or outlet sockets in the bathroom. Lights, fans or electric showers are controlled by corded pull switches, and these must be out of reach from small children. A shaving outlet is permitted but this is different from the usual three prong inlet, having only two prongs and a low voltage. It's just not a good idea to touch anything electric with wet hands.
Bathrooms tend to be small in the majority of houses in the UK, so there won't be room for a washing machine in most. I have never seen one in any large bathrooms either. Kitchens are usually larger, and they are designed with a place for the so called "white goods" fridge, cooker and washing machine.
As for two taps, most new builds now have the mono bloc taps in the kitchens and bathrooms. The reason for the two taps was contamination. In older houses the water supply always went directly to the kitchen tap (to supply) fresh drinking water) then it was piped to the "cold" bathroom taps, and finally to a storage tank in the roof space, to feed the hot water system. With this system it it would have been possible for contamination to take place if the the hot water and cold water came in contact with each other in the same pipe. Now a days it is not so much a problem with the introduction of anti syphon valves and direct feeds to the boiler.