Well... honestly... I don't know.

Personally I'm not on med's at this point. (I have taken them in the past.) And I guess I'm sort-of like you at this point (except that I'm older than dirt.)

I don't see a therapist. I have some good periods of varying lengths & descriptions. But I also have some very dark periods as well... including quite a bit of passive suicidal thinking. I occasionally think that perhaps I should consider getting back on some type of medication (more for my spouse's benefit than for mine. She has to put up with me.)

But once the particular crisis-of-the-moment has passed, I just let it go.
You mentioned you are seeing a therapist & s/he fits you. That's a really good thing!

One thing you didn't mention, though, is how long you've been seeing your T. Therapy is a long-term process. So, if you haven't been in therapy for that long, perhaps you simply need to give it more time?

You also alluded to an issue from your teens that you feel you've developed coping strategies for. You didn't mention what it was (not that you should.)

But depending on how significant an experience this was, perhaps you're not dealing with it as effectively as you presume?
Personally I don't see any reason why you should not see a doctor, if you decide you want to. I don't think you should feel as though you'd be wasting her / his time. That's what they're there for. On the other hand, at least from my perspective, getting on any kind of psych med's isn't something to be taken lightly, as they say. There are almost always side effects. And, depending on how long you're on them, they can be difficult to get off of. (Also, at least in my case, I never really felt as though they did that much good.)
Part of the problem with seeing a doctor, at least to my way of thinking, is that what doctors do is prescribe med's. And so it's likely, I would presume, that if you walk into a doctor's office, you're likely to walk out with a prescription. I know, in my own case, the pdoc I used to see was always more than happy to prescribe a medication for any concern I raised during my appointments with him. Had I wanted to be, I could have been on a whole laundry list of psych med's. I simply chose not to go that route.
So perhaps, before you do go ahead & see a physician, how you're feeling about your state of mind & the possibility of getting on some type of medication, is something that would be good to talk over with your T? S/he may be the person who is going to be in the best position to guide you on this.
P.S. I just read your reply to Travelinglady's comment. You wrote that your moods seem to come out of thin air & you can't find any logical cause for them. One possibility is that part of what is going on with you is simply genetic. You may just be prone to depression. But also... I enjoy reading about the findings that are coming out of research that is being done into the workings of the human brain. And one thing I have picked up is that a lot more of who we are, & what we do, is controlled by areas of the brain to which we have no conscious access than we would typically imagine. So perhaps there are memories stored in non-conscious areas of your brain that are contributing to your dark moods? (This perhaps goes back to that long-term issue from your teens you mentioned.) And if that is the case, perhaps what's called for here is more continued therapy rather than psych med's. In the end, I really don't know. But these are all my thoughts with regard to your post. I wish you well...