Yes, we do park the car there. It sure makes it easier for us, and less expensive.
Many of the motels have a cruise package, but in the last year, many have done away with the shuttle service. Galveston is a very small town. The cruise shuttle was eating into the profits of the Taxis, so many motels have stopped doing it. Because the island is so small. No matter where you stay the Taxi is never very much.