Birdstrikes is mostly dead on.
Management was hand-picked for their malice toward pilots. They are incapable of any real leadership, and have never had an original idea in their miserable lives. If they take any time to inform you of something, they are probably lying. They think they're being cute by inviting the overnighting pilots in CVG to come to a company paid lunch at Applebee's, and then pumping them for information or trying to subvert the collective bargaining process by engaging in individual bargaining. It's all right out of the Ford-Harrison playbook, to which the company subscribes.
Despite their incompetence, I don't think Southern is going out of business any time soon. The profit margin in freight is just too high, and DHL needs their convenient tools to wrangle these uppity pilots for them, and to whip-saw one pilot group against another.
Everyone's situation is unique, so I can't tell you if you should take the job or not. Life on the B777 is decent, IMHO anyone who opts for the B737 has no intention of staying very long. Spin the wheel and take your chance. If you don't want what they offer, don't take it.
Good luck to all.