It isn't through Eagle Jet, no. Kingairfirstofficer.com
I suspect it would not have been a bad option for me had I not already started my PPL, as the costs would have been broadly similar, but as I have already shelled out for the PPL the costs don't add up. The advice you folks have given, along with advice I have received from a few HR people at airlines, makes me confident that it isn't worth it from a financial perspective, although flying in LA is undoubtedly an experience in itself.