Last week Giordano Sereno wrote:

This is actually "ab initio" rather than "aber initio". It might do on a mis-hearing but is unlikely.

Did you or anyone else check this reference in the process:
http://www.coinbooks.org/esylum_v15n22a12.html

Sorry if it's already been mentioned but I thought I'd raise it since it just popped up with a Google search now. I suspect "Not In Trust" is fanciful, and still just means"not" even without the word "aber" on the example illustrated in the 2012 item.

I read somewhere that any etymology that claims to be based on an acronym prior to 1900 is almost certainly a later concoction, and most likely wrong.

To read the earlier E-Sylum articles, see:
ANSWER: WHAT DOES N.I.T. ON BRYAN MONEY STAND FOR? (http://www.coinbooks.org/esylum_v15n22a12.html)
QUERY: BRYAN MONEY "ABER NIT" INSCRIPTION (http://www.coinbooks.org/v20/esylum_v20n23a28.html)
MORE ON 'ABER NIT' (http://www.coinbooks.org/v20/esylum_v20n24a11.html)