If 1 has HSV 2 and has only had outbreaks around the oral area, does that mean (s)he can still get the symptoms around the genital area in the future?

Maybe. The lab tests for herpes simplex i and ii are imperfect and subject to false positives and negatives, and HSV ii acquired on the mouth usually stays there. Since diagnosis and treatment / prevention are based primarily on the clinical picture, and are largely empirical, i'd urge you to relax. And congratulations on your proactive approach to your health.