diverbrian once bubbled...
The advantages of the integrated to me are simple. I can't think of the number of times that I have noted new divers not clipping their octopus to their gear tightly enough or they lost their clip. Now it is in the dirt and/or not readily at hand. Not only is it likely clogged with dirt, it is creating a silty mess on the bottom. I know where my air source is because I have been controlling my bouyancy with it.
None of those little clippy things seem to work well. I see a lot of classes in the water that make no effort at all to secure equipment.
To the people that dive with the long hose and bungie necklace... Well obviously that is the way that I dive in doubles, but we try not to confuse students and new divers with different configurations and seven foot hoses on the primary definitely count as a "different" configuration. So, when I am assisting with class or participating in store dives, I am a little limited in my configuration. So, I find this to be the policy for me. But I have dove with a guy who used that in his recreational gear and I liked the idea.
That's how I do all my diving and teaching. It doesn't confuse students because that's how I have them set up. Well, I have them using a shorter primary hose. I explain the different ways divers do it but the fact is this is what seems to work the best by far. It seems to solve all the problems of all the other systems. I can't think of a reason to teach them whet I think works the best.
I also explain that all they need to do to impliment the system when traveling and renting gear is to carry a piece of bungie or rubber tubing. Their hoses won't be the perfect length but the most important advantages are still there.