This is my take on this. When the kids were little not a single place had issue with a little cooler for the kids with waters, soda etc. I always bring a water bottle with me now to every beach we go to without issue. If the beach is a beach bar/restaurant/cafe then no, no cooler. It’s like going to any restaurant and I would not walk in with my own food/drink. And it doesn’t matter to me if paying for chairs or not. There are areas on every beach on the island that allow you to bring your own chairs/picnic contrary to what some may say. Mullet we bring coolers as it is not a “restaurant” it’s a “Lolo” nothing formal.