I can't believe that any hotel in the "LAX" region would not offer a complimentary shuttle. The ones I've used at PHL do.

Priceline protects itself, however, with this entry in its FAQ:

"Will my hotel have a courtesy car or shuttle?

At priceline Hotels we promise we'll save you money … but we can't promise
you a ride - that's up to the hotel that accepts your offer. If your hotel does
offer a courtesy car or shuttle they may charge an extra fee. For more
information, call the hotel that accepts your offer."