I think you are correct. Having stayed at the Lodge and rented bikes to go to FW, we would see golf carts from time to time at the point where the two resorts meet. Also..4 years ago, we saw a family in a golf cart go right under our balcony that looked at the Villas..overlooking the walking/bike trail to FW..and they apparently came straight through to the marina area. I don't think this was likely permissable, as I hadn't seen any other golf carts do that..the few we had seen in the past were usually where the path joined both resorts.
I wonder why is it exactly that you aren't supposed to leave your cart(especially if it's your own cart)..where the resorts join paths?....I would think that parking spaces would be one of the reasons preventing this
Is this to discourage pool hopping? Sometimes people just want to use the restuarants of the WL..like the original poster..seems a shame they have to take a bus or boat when they could easily use the cart if it were permitted.