This might be a little outside the usual lines that are customary but you never know what your customers might have seen recently (at home shows, on their social rounds, on tv, in their visits with the realtor, etc.) that compels them to ask for a new-fangled accommodation. Perhaps ask your customer where or when they saw the set-up they're asking for. If they have the money and want some special accommodation, you ought to at least be willing to investigate it and find out what's involved. Perhaps place a call to a realtor that serves an upscale area and ask to see some of the newer bathroom, vanity, dressing room or walk-in closet amenities.
From personal experience, having a vanity such as one you describe with the blow dryer and curling iron hidden but readily accessible and already plugged in would be an improvement over my recent arrangements - beauty tools & their cords all over the place or all of them wound up and hidden away in the cupboard beneath the sink and hence, less likely to be used in making me presentable.