Oh now we have "very close" (embrace) to add to "close", "loose", "open"(!), "dynamic" or "fluid" etc., etc.
Well, we always had it, but the name is pretty daft. It is defined as 'Upper bodies in contact, while the lower bodies are a small distance apart, so that they form the shaps of a pyramid with their axis in front of the toes'. I don't think we needed another name, but it's not my invention.
I agree with you and don't see where the swing dance & BT comparison has come from. From my point of view and experience of both they are very different.
The definition of BR, here, unfortunately does include the Latin dances (which is very odd in itself), but even if you exclude them (as you and I clearly would), you are still left with the swing dances (waltz, quickstep & foxtrot) + tango, but as soon as you put those distinctly different 'BR frames' together, then there is really no point is comparing them with anything in AT, as you are already taking about a composite frame that does not exist, and then seeking to compare with something (the AT embrace) that also has no clear and generally accepted definition, and which clearly admits of very wide variations itself.