Overlooked? We have a direct example of its production in Saltpans – that’s an example of salt production through evaporation of brine in a shallow open pan.
Anywhere by the sea could produce salt, so I don’t think that necessarily points to Dorne or the Disputed Lands. Yes, living in a hot climate makes evaporation quicker, but unless there are large amounts of sedimentary deposits allowing for large-scale mining of salt, I don’t see why those would be important producers.