You know, it always makes me chuckle to see just how contradictory "you're not asexual if..." statements can be. (Apparently, you're not asexual if you have a sex drive, but you're also not asexual if you do not have a sex drive.) I honestly can't will myself to care about who does or does not fit the label; I generally give declarations of identity the benefit of the doubt.
I'd like to think my asexuality is pretty unambiguous, though my lack of a libido apparently calls that into question for some. (I've recently had a physical and some bloodwork, and I'm pretty damn healthy. No doctor has ever expressed concern about my hormone levels and I have no reason to suspect that I have any endocrine issues). If you want to be precise, I'm an aromantic asexual, and I've had a simple enough time flying under the radar. I think most people just assume I'm straight and I don't go out of my way to challenge that. On the rare occasion that I have to explain myself to others, I find myself avoiding the label unless the other person expresses familiarity with the term one way or another. (Asexuality 101 has gotten so bloated with terminology that I'd rather just explain my own experiences instead of my own plus every conceivable form of asexuality.) Thankfully, most people in my life don't try to regularly prod into my love life (or lack thereof), but asexuals that do run into that issue may almost feel coerced into showing their hand. (We'll see how long it takes before those "biological clock" comments start coming in, though that's far more of a child-free commentary than an asexual one.)
Honestly, it's an identity that (for me,) is based on the absence of something, so I can't really say it's a part of myself that I would choose to wear on my sleeve. (My identity as a musician, however, is something that I'm far more loud and proud about.) I don't see my orientation as something that makes me special or unique, and I can't say I've ever had much interest in discussing the topic offline. (In fact, my interest in even discussing the topic online has waned considerably in recent years. There's just other stuff that I'm more interested in talking about.) Still, I can honestly say that my "stealth" (you could say that I'm closeted, but that implies that I'm actively trying to hide my identity) in regards to my asexuality made the topic a non-issue in my life so far. I suppose that my stealth won't last forever as I enter stages of life where you're expected to be married, trying to get married, or have been previously married, but I'd like to hope that most people won't make too big of a fuss about that.