This is just a "would you rather question", you would still be able to get all the nutrients your body needs, this is just the taste we're talking about.
I actually never was a "sugar" type of guy, I could go a full year without eating ice cream for example. It's not that I don't like it, it's just something I don't crave for. It would suck not being able to taste any sugar at all, such as sugar in fruit for example, but I can't imagine eating all other types of food without salt.
EDIT: I actually wrote "suger" on the option, I don't know what happenned, how embarassing...