No, I am not concerned about HSV 2! What I”m saying is that you only test technically positive for HSV 1. If your partner had genital HSV 2, and you do not have HSV 2, then maybe what you had was not genital herpes. If he was also the giver of oral sex to you, then it is possible that you got HSV 1 from his mouth and not from having intercourse. This is all conjecture since we don’t really know if your HSV 1 is a true positive.
Let’s say you do have HSV 1, just for the sake of argument. The majority of the population has it also. If you have a partner in the future, you can ask them to test for HSV and if they have HSV 1, there is no issue. I think it’s possible that you are overly worried about having HSV 1. However, I would suggest you manage to confirm your HSV 1 status.