I wanted to end a OWE (originated YUL) with a day at SXM and won't have a NA stopover left. I assume that LAX-JFK-SXM (arrive 12N) SXM-YUL (depart next day at 1330) will work even though it's > 24 hrs because 1330 is the first cnx shown?

Also, segments ALWAYS add up, even if it's a stop on a direct same-plane service, don't they? Thus AA1937 which shows two stops LAX-SXM equals three segments even if I grovel and promise not even to look out the window at the tarmac when we're on the ground?