I assume the advantage for the archosaur and its descendants would be more efficient breathing. The article in fact states: "The researchers who have discovered the system in alligators believe it may have given dinosaurs the competitive edge over the ancestors of mammals following the mass extinction at the end of the Permian period, 250 million years ago." So there, if you had read the article properly, is your answer.
My second paragraph would be refuted only if humans and octopi "appear closely related for other reasons" than the similarity (you've told us already there are not identical) between human and octopus eyes.
You do not seem to be very good at reading comprehension. However this is understandable if English is not your native language.
English is his native language. He's just being lazy on his reading. BillyT will likely acknowledge that.
But he had a good point about bird breathing system. And yes, as I said before and say again, it appears that that 'mystery' is solved, as dinosaurs likely had the similar system as birds (their desecendants) and crocodiles (their distant relatives).
As to Trippy's original article, there is a 'seamless transition' for every extant species today and their ancient ancestors. We just don't have as good a fossil record for many of them as we've developed for dinosaurs/protobirds/ancientbirds. This is likely because they were so prodigious they left more fossils; and they lived in areas where we've got a good fossilization (such as China)