I originally made this with Havana Club Puerto Rican rum and it was not great. (I had to added more lime juice to make it palatable for me...) I just tried it with Plantation 3 Stars and it's much improved! Good if you want something simple and rum-forward. Probably great on a hot day.
Peter, I just had a similar experience using Brugal Extra Dry. Luckily, I did also have Plantation 3 Stars on hand, and that was much better, though I'm still not floored by this drink. I would think extra lime helps, like you suggested.
Far better balanced that the Caribeño which has the same ingredients in drastically different proportions. Very rum forward, but I would make again it when I was in the mood for something this boozy.