I think Alan's got the right idea -- call 'em simply "revival" squares. It's got a positive, non-jargony feel to it and gets at some of the key ideas mentioned in this thread by Tony, Fred, and others.

David Kirchner
St. Paul, MN

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1j. Re: Is there an emerging SD style? Has it a name?
    Posted by: "Winston, Alan P." winston@slac.stanford.edu
    Date: Thu Aug 11, 2016 3:48 pm ((PDT))

I'm just going to spit-ball some names, without much belief that
these'll become popular:

Syncretist squares (combines from multiple traditions)

Eclectic squares  (similarly in crossing boundaries)

Walk-right-in squares  ('cause I really want to say "no-lesson squares"
but defining things by the absence of aspects of other things is bad news)

New Tradition Squares  (because it's coming back to tradition but
without the mustiness; if "Modern" weren't already in use we'd want it,
"Post-Modern" would just be confusing)

Community Fun Squares

Old-Time Revival Squares  (following the degree to which the interest in
old-timey music among youth seems to have preceded and precipitated the
square dance movement)

Party Squares

-- Alan