In conjunction with its revocation of the Charter of the AIA's St. Louis Society, the AIA has now also made quite clear that it's against all trade and private ownership of archaeological objects, not just those without a collection history dating back before the 1970 UNESCO Convention.
According to the AIA's new membership rules,
Cause [for termination] shall be deemed to be any action taken individually,
or as an officer or director of an affiliated Society, detrimental to the
purpose, interest, public image or principles of the Institute and shall
include, without limitation, the use of the name of the Institute in connection
with or in the furtherance of transactions involving archaeological artifacts
which could have the effect of removing such archaeological artifacts from
general availability for scholarly investigation or public display.
It remains to be seen how far the AIA will take this in practice and whether there will be a backlash against the AIA leadership once the effect of this rule change sinks in with the AIA's non-academic members whom are presumably the source for most, if not all, of its funds.