Having been accepted it's easy for me to say but, I don't think it makes much difference what airline you are from, they seem to be looking across the board at experience levels.
With the rapid and large expansion rate they have at the moment they want people they can promote early and also people who are happy to be F/O's for a while longer.
I fly for a european charter airline flying the B757 & B767, good command time on both and some training experience, who ever you are and whatever your level of experience, if you fancy it have a go.
It does take an age though, quite a few months for the interview, six weeks after that to find out if you have been successful and then after the medical bits another few weeks to be offered a place.
Be patient, iam sure it will be worth it!!!!