We just got home having stayed at Beach Club. We used the service roughly 5 times while there.
In order to gain access to the service, your hotel has to enter a special access code into your Lyft account so that your account is tagged as being able to use the Minnie Van Service. Once your account is tagged, it's there for good. Currently, only a handful of hotels allow you to enter the access code, however once you have it, you have it forever. So if we stay at Saratoga Springs next week, and they aren't a hotel that currently offers it, we can still utilize it since we have previously been tagged. Likewise, one of our drivers said that certain guests staying in the club level at other hotels where the service is currently 'not' operational have been given access as a courtosey.
So to answer your question, it is and it isn't site wide. I could use it anywhere (picked up and dropped off anywhere on property since my account is tagged), but a guest staying at all star Music (for example) may not. I could take it from All Star Music to the MK right now; but if All Star Music isn't live yet, guests currently staying there would not be able to take it from ASM to MK even though I can.
The program is still in Beta mode, so it's not available to all guests but it is available everywhere. They are slowly rolling it out to more hotels and the guests staying at those hotels.