It would make them look like a "weird" INTP, but they would definitely still be an INTP. I'm 6 with a strong 7 wing; it makes me look much more outgoing and silly than the average ISTJ.
But the thing about enneagram is that it manifests differently in every person. I am not as familiar with the heart triad (2,3,4), but I do know that in, for example, type 6s, all sixes have primal anxiety/doubt, but deal with it in fantastically different ways. I would assume that would be the same case for type 2.