My personality is strongly neurotic, and I'm also just a plain curious person. I also (obviously because I'm here) have anxiety issues. The combination of the two can be rather unfortunate at times.
Fortunately, I can mostly sort my emotions fairly easily on this stuff and perceive when I'm anxious/fearful or just interested (maybe a little obsessive

). It depends on the situation.
So, I guess my advice would be to "check your gut" and see how it feels.