Sounds fine but I can't say I agree that it sounds any more Latin than It did on Broadway. I don't think authenticity is exactly their goal here. It's probably more authentic than you think. Modern pop music in Spain often doesn't sound stereotypically "Latin" beyond the lyrics being sung in Spanish. If you ever get a chance, listen to Mecano, the biggest pop group in Spain's history (Hoy No Me Puedo Levantar is the jukebox musical consisting of their music). They peaked in the 80s when Women on the Verge was originally released and it wasn't until later they started to infuse Latin elements (flamenco, bolero, paso doble, rumba, etc.) into their music, which Women on the Verge already does. Even Spain's biggest international hit pop song, Eres Tu, does not have that "Latin" feel at all. Sure, they could beef up the Latin flavor in the orchestrations, but it really isn't necessary to add "authenticity". To me, the locale was clear enough in the original production.
"What can you expect from a bunch of seitan worshippers?" - Reginald Tresilian