BTW, if you have to walk on the beach (no vehicle traffic), there is a much higher probability that trash is going to be left behind.
It's a lot easier to haul things out there that you'll used during your trip. It's also a lot easier to not haul trash back. That isn't applicable to just the beach either, go to any public place that people frequent and it is the same story.
Texas has about 370 miles give or take of beaches and coastline and relatively few access points comparatively speaking. Almost none of the beaches are like Biloxi where you have readily available parking areas so foot access is reasonable. I can only think of maybe 2 places that are similar. Eliminating access by removing driving is just not a viable or reasonable option, and I'd fight it tooth and nail because beach access is something we all own as citizens of the State of Texas and it needs to always be that way. And it just isn't beach access, it's often time bay access as well from the same points.