No rosters in either. Both permanent standby, but there is "some" visibility of future trips, depending on your seniority at both Airwing and Al Qataria.
"Passengers" (sic) are known to request certain crew on certain trips - fact.
Airwing (Abu Dhabi "Amiri" flight) generally pays more than Al Qataria, however the latter has, surprisingly, more aircraft in their fleet and more overseas trips!!
Qatar Amiri flight presently operates: 2 x Global Challenger aircraft / 1 X A340-200 / 1 x A340-500 / 1 x A330-200 / 1 x A319LR / 1 x A320-232 / one more long range Airbus is on the way. / 1 x A310-300 has recently been loaned to another foreign state.
At Al Qataria, you will be expected to spend at least 4 months flying embedded in the mainline airline operation (i.e. Qatar Airways) depending on your joining seniority and experience.
Hope the above helps in some way.