My 8 year old daughter will eat any ripe fruit, and anything weird it seems. I think the sweeter it is, the more she likes it. Almost never turns one down, unless it's soured.
My 6 year old son will not eat a rip fresh fig, but will eat dried ones.
Just depends on their individual tastes. I think that any kid that likes one fig will like them all, and if they don't like one, they won't like any.
To encourage them to like them, I would make sure that the first one you give the kid is very very sweet. Cut it in half and make sure it's a good one before you offer it to him/her. Otherwise you risk spoiling their first impression with a mediocre fig.