Desalination uses a lot of energy, so if energy is cheap, then so is desalination.
Both solar and wind power have gotten incredibly cheap (~ $15/MW), and more importantly will continue to get much cheaper over the next decade. Boca Chica has lots of wind & sun.
Desalination can also handle the variability of wind & solar quite well: just use water from a big water tank when both wind & solar aren't available. Expensive batteries not required. And to a first approximation it's always windy in Boca Chica, so not much storage is required anyways.
OTOH, piping water from Brownsville to Boca Chica is probably a 9 figure project.