I like the elbow-gazing, do tell more about it
I'm not sure it's
that interesting, but:
People watch tango in lots of ways.
By far the most common is foot- and leg-watching. I suppose people find the precision or complexity fascinating.
However, the motor for all that – and the communications center between partners – is in the core. It's far harder to fake than unled/unfollowed footwork, and ideally it's subtle and takes real watching to spot. As I'm a technical dancer above all else, that interests me; fancy vocabulary is a lot less interesting to me.
The catch is that
another thing people watch is, well, whatever parts they find sexy. It's a little creepy. And of course those parts are mostly around the core.
To avoid having my gaze confused with a creepy one, I move my point of focus off of the torso to the parts nearest to it. As often as not, that ends up being an elbow if the couple is dancing with relaxed arms, elbows pointed floorward (as I prefer . . . I don't watch couples with high, pointy frames). So, I'm not really gazing at the elbows so much as the implicit torso engagement they're expressing.
Anyway, doing that means that my eyes are constantly scanning and focused on something that isn't the tables on the far side of the room.
the local organizers come and ask verbally. I have always taken this as a way of being polite and attentive to newcomers, not necessarily finding it disturbing.
That's different. It's good when organizers and regulars make an effort to welcome new people . . . I wish more of them did that! I still think, though, that the place to do that is the door, cloakroom, bar, etc. "Great to have you here. We'll dance tonight!" followed by a cabeceo a little later is perfect, to my way of thinking. Your mileage may vary!