QF don't have viewership rights for JL created PNRs.
QF has viewership of BA/CX/UL/AY created PNRs even when there's no QF content, hence you can add these PNRs to the QF app ... that's all the ones I'm aware of.
Of course, QF can always view a PNR that contains QF content, or has had QF content at some point in its lifetime.
All of my pax use the QF app to view their bookings, even non-QF bookings. I do this by manually granting QF access to the PNR which then allows the QF app as well as the QF manage booking tool to view the booking.