Even now the transaction has not posted.
I also canceled a NH ticket around the same time (the JL ticket was actually to replace the NH ticket). The NH website said refunds would take 2-3 months, but it already posted this morning (less than 24 hours).
I have already double-checked with JL and the wrong booking has already been canceled, so I'm now wondering if they will even proceed with the transaction or the authorization will just be voided… as there is no valid booking to charge me for.