@gusherb
We noticed the same thing at Kings Hotel in Perth.
On a *mild* evening, where the temperature was around 75º (Daytime was about 85ºC) our top-floor "Penthouse" (we were upgraded) struggled to get below 77º, even with the system on High Fan, and set at 65º.
Staying there again, myself, this past April, the daytimes were about 75º, and nighttime in the 60s. It managed a reasonably chilly temperature in there, so I suspected that the lobby air-conditioning loop reduced the capacity significantly, not to mention the building's existing heat load may have had an effect.
Funnily enough, a couple of the lower floors did share a large blower vent where the elevator was, but the higher floors did not. I saw into the cleaner's room where this duct runs, and it almost appeared as though the same vent serviced the bathrooms (as each one had a vent that seemed to do precisely nothing).
On the outside of the building, there was a large duct, with a big open blower unit, which I assumed would be responsible for running some of this ductwork...
Must say that older hotels are very interesting!.
Link is of photo of the type of room I personally stayed in!
http://www.kingshotel.com.au/data/deposit/galleryImage.25731.image/image.jpg