Depends on how old you are and how old the woman is. For the young you may get some ladies who think, “I can save him!” More experienced women may have had it with the fixer-uppers. Or not–some people are good with this.
I would not consider it a lack of confidence, but I don’t think it’s something you have to divulge on the first date, either.
It would depend on the rest of the package, including how well he manages it. But the same applies to many other medical conditions.
Dude who tells me about his stomach problems while slobbering over a plate of three fried eggs, potato wedges, two kinds of bacon, mayo and ketchup, with a box of heartburn pills sitting beside the plate: not ok. I don’t care if he’s the love child of the four handsomest men in the world and the eight best conversationalists, I don’t want to go with him to a restaurant, much less to my bed.
Dude who takes a while to pick a meal and asks the waiter about some ingredients because he’s got allegies / is celiac, but who eventually does get something that will not make him sick: perfectly fine.
But…but…I thought women were attracted to dark, brooding men 
Hey, it’s never sad crying! You hush. I deal with my sadness the normal way, by bottling it up inside until it can’t hurt me anymore.
LOL. I was going to say the OTHER most attractive quality was “dark, brooding, tortured” men.
Man with diagnosis of depression weighing in-
No potential friend or romantic partner needs to know immediately upon meeting me what my diagnoses are or what meds I’m on. As has been said, I put my best foot forward. Later, when she knows more about me I can find the right way to explain just why I require pills twice a day. At that time, I would also stress (as has been recommended) that I take my meds, see a therapist, and am working hard to beat this thing.
I agree with this. I’m not ashamed or embarrassed by my depression in the least. Knowing that, I also realize that there is a time when getting to know someone that is best to bring such matters up. If, upon learning of such news, the woman is made uncomfortable, unattracted or whatever, then, hey, good screening.