It seems my alternative disphenocingulum (J90) has been discovered before.
It is number 25 on this page of "near miss" Johnson solids.
http://www.orchidpalms.com/polyhedra/acrohedra/nearmiss/jsmn.htm
This claims that there is some distortion in the cingulum triangle.
Though in my models I could not detect any distortion. It must be very small.
The author appears to be Jim McNeill as named here:
http://www.orchidpalms.com/polyhedra/
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