It does indeed make sense. I am not a teacher, but as part of my job, I occasionally lecture to groups of students or similar audiences. As an introvert, I don't really "connect" with the audience, but instead focus on understanding the material, on explaining it clearly, on maintaining a lucid narrative where I summarize the points before proceeding to the next concept. It's like having a conversation with a mirror image of my own self. This type of "teaching" can be very rewarding, even for an introvert, and especially for an NT type. Why? Because NTs value competency, and giving a lucid lecture reinforces our self-conception of being competent.
I've been in this same predicament for a long time. I'm 22 and still haven't started college because I'm so indecisive. Nothing sticks out. But there are enough things in this world I enjoy quite a bit, and enjoyment is what I need to get anything done. The best advice I could give is to not tether yourself onto anything very strongly, at least not right away.
I've finally decided to study biology next year because I can easily narrow down my specialty after a couple of years without an extreme change in school work. With that course of study I can choose from a good variety of careers and I'll still be able to include other things I enjoy with my work such as writing, educating, being outdoors (depending on the specific job), and benefiting the environment. Basically, I'll need variety and meaning in the career I choose as well as the option to change my mind. But deciding on this was still very difficult.
If you're very indecisive, maybe it's a good idea to start with something you're content with that doesn't require a huge investment of your money or time. Your good and bad experiences will help define what you really want/need. It might help you save more time than if you waited for something to "hit you" instead.
I often feel like I've wasted a lot of time. I wish I was a bit more J than P at times... Okay, maybe more than a bit.