This is a weather museum in more senses than one. It is the correct answer to three specific situations, and a slightly odd choice otherwise.
The first is a double red flag day. When the ordinance closes the Gulf and the whole town's plan collapses at once, every indoor attraction fills. The museum is free and small, which means it fills quietly rather than chaotically.
The second is rain. Summer afternoons here produce fast, heavy thunderstorms that clear in an hour, and the museum is a comfortable place to spend that hour without spending money.
The third is a genuinely curious visitor. If you have already done the beach, the pier and the trails and want to understand the place rather than just be in it, an hour here is better value than any paid attraction in the two towns.
What it is not is a way to fill a whole morning, and it is not open at the times people most want it. On a Sunday or a Monday, or after mid-afternoon on a Saturday, the answer is the Coastal Arts Center in Orange Beach or the zoo instead.