مصعد متاح للوصول للاستوديو

(مصعد ( داخل الفندق

Indeed, as our colleagues answered and as you assumed, lift access can both mean access to an elevator, and also the elevator itself accessing the floors/studios, which essentially are intertwined (i.e. one would not want to access the elevator unless the elevator will be accessing the floors!). Yet some hotels try to advertise or boast about everything they have, even though it would seem obvious that they should have it. (Keep in mind though that certain styles of "hotels" indeed don't have elevators, such as many motels in the USA and elsewhere.)

A lift access is a lift for your luggage or your belongings. It's not a lift for people or passengers. Customers are not allowed to ride inside :)