When they don't specify nor mention Line training on their website or course documentation then why and how could they help you get line training? Come on my friend there's no easy short cuts in aviation. Maybe keep your type rating 'tucked away' not to help you land your first job directly on to a jet but to prove to another employer that you have the ability to operate such level of aircraft. Then once you build time and experience within the airline you could apply to the fleet of your type rating.... do you see what I'm trying to get at? We would all like to go straight onto our chosen aircraft type but whilst we're waiting to do that maybe we can have 2 avenues to attack the problem.
Best of luck my friend.