What if while worrying so much about the dog the OP stalled and spun the plane?
Dog, child, case of wine... let's face it, if you care a lot about something in the baggage compartment with an open door, crashing is not going to protect it, so there's no use in drama. Even if it's "just stuff", but you are worried about doing damage or harm on the ground, again, crashing to prevent this would also be counter-productive, obviously. If you can take action to prevent it falling out, fine, but there's no use in flying the plane in an unsafe manner in an attempt to do that.
Like Gene, I think I'd also feel pretty bad afterwards, 'cuz I really like dogs. But I'd feel a lot worse if I had let my concern for
anything falling from the plane distract me to where I created a further hazard.
It has nothing to do with how worthy a dog is of human concern... it's about flying the airplane safely regardless of the problem, and not dropping things that might hurt somebody on the ground.
Regardless of the cargo or the outcome of the incident, I'd mostly just feel dumb for not double-checking the door before takeoff. Again, not because of it being a dog, but because you have to double-check if there's
anything back there, or if it's the kind of door that will create a flight hazard if it comes open. It's not good form to fly around dropping dogs and towbars and luggage on the poor "groundlings" down there.
That being said, I don't think the right turn was a big deal in that scenario- "nonstandard" does not always mean "unsafe." Keeping the open door up during the turn was worth a try, and I'd say he did it without causing any further problems.
Obviously, there are times when you just shouldn't try anything clever... this thread reminds (weirdly, i guess) me of an accident where a stunt man hanging on to a bar mounted between the mains of an airplane fell 500 feet after his safety rig failed and he could not hold on with his hands alone (Jim Bailey, see linked video). He had a comm link with the pilot, and it became obvious he was in distress. The pilot could have tried something stupid, to try to help the guy, or he could have panicked... but he didn't. He slowed down and began to descend gently, straight ahead... which was all he could be expected to do. It would be hard to just keep flying the plane under those circumstances, but he made the right move, I think.
The clip is not graphic, but definitely not pleasant, either. Haunting, actually. The usual callous YouTube comments below it are the only offensive part.
Definitely an education in flying when there's a problem... and why rigging should always have a very liberal over-rating for safety.
http://www.youtube.com/watch?v=rIP2IMaTmLM