If you ask a traditional realtor "what the buyer really cares for?" he/she will auto-reply "price and square meters" and indeed this reflects the reality at a great percentage. But this applies to the normal-properties buyers.
For the Luxury Buyer, price and dimensions of the interested property play a role, but not at all the significant one. The exquisite buyer will seek for dozens of factors more than the obvious, just the simple report of which would cover tons of writing.
In the Luxury Real Estate lingo we call that the "visual inventory" of the property, i.e. external features, location, surroundings, neighborhood, gardens and amenities and much much more.
The only rule that replies the question "what the luxury property buyer seek for?" is that there is no rule. Only close theories. In practice, it is much on Luxury Realtor's hands and mastery to discover the real or hidden value of each property and to transmit it to the potential buyer accordingly.
Most real estate agents fail to discover this inner value of each property and believe that the luxuriousness of a property will finally close the deal. With the latter being one of the most common mistakes average realtors do; luxury buyers are never attracted by the luxuriousness of a house, simply because for them most times is considered as a default criterion.
Luxury Buyers don't care about the price. This is a shocking truth traditional realtors always forget. They care for the X-Factor of each property. A factor which lies at the competency and hopefully expertise of the Luxury Realtor.
I've seen luxury property deals of tens of millions to be cancelled for minor details and similarly priceless luxury villas to be sold within minutes just from the delicate artfulness of the Luxury Agent.
Most of times, luxury buyers are very much influenced by the personality of the luxury agent and rely their decision greatly upon his advice and support. But they do not just grant him their intimacy; he/she is the one that must work hard to get it. How, it lies to another set of x-factors, which in the end make this job so fascinating.