I hate to question, but are you sure? Granted, it's been a few years since I stayed there, but the park buses used to start at Peninsular Road, then Turtle Pond, South Point, Miller's Road, then aHospitality House as the last stop before exiting the resort.
Disney Springs buses started at HH, then followed the park bus route, which effectively had them operating as the internal buses, as well.
Nothing stopping anyone from getting off the bus at Peninsular Rowd and making the extremely short walk to HH, of course!