My daughter and my wife/myself are going from YOW to FAO via YUL and BRU - departing Canada on April 14, and arriving in Faro Portugal on April 15.

My daughter is on a AC issued ticket and the 2 of us are a SN issued ticket.
We are on the same itinerary.

The 2 of us are booked in business class on this flight - P class was available when I purchased this ticket in August 2015.

About 3.5 weeks ago, I purchased the ticket for my daughter. P class was not available, per the KVS and Expertflyer web sites. AC confirmed this, and booked her in the economy cabin on that flight SN 3801 on Sunday May 15- note, this is a SN designated flight (it is not an AC codeshared flight).

Now, there is contradictory availability of P class seats on that flight, per the 2 web sites. Most searches show a P2 class availability when I look at this flight as a stand-alone flight. But when I try to look at P class availability of the 3 segments together, some results show no P class availability, and others show P class availability.

What is the true state of affairs re: P class availability on this flight? I ask, because I want to get my daughter into the J class cabin on this flight, if possible.