Having a few foods (eg, mushrooms) that you dislike is one thing, but being the kind of person who can't eat out except at a few tpyes of restaurant or who can't roll with what he/she is served while a guest, traveling, etc can really be a problem. It could even limit you in the employment world. I have known people like this and it seems hobbling to me.
Whicb is not to say a child will be like this as an adult if he/she is limited in diet at 3, 5, 10, even 16. I also know a lot of former picky eaters who now eat broadly.