I guess not just the kit, but the wider issue of raising the bar by teaching skills whilst hovering and (just to make Peter happy!) things like gas management, which are perceived to be "too hard" for entry level scuba courses...
Hopefully this won't turn into an agency bashing issue.... "it's not the agency, it's the instructor".
Specifically with regards to PADI, I've spoken to PADI in the past about both this issues - their guidance was very specific. A PADI instructor can teach a PADI course in a long hose, and indeed a student can have a long hose provided they meet the performance requirements stated for the course.
I've taught OW courses for students wearing a DIR rig - some of the skills become somewhat puerile - snorkel to regulator exchange springs to mind. But the skills that are deemed "difficult to do" in a long hose just take a bit of thought. Regulator recovery is one that I've been asked about - the question being "how does a student do the sweep method with a long hose?". PADI never stipulate how a skill needs to be done, just what needs to be acheived. So a student needs to "Recover a regulator from behind the shoulder and clear it". Take the reg out, drop it behind you, find the long hose coming over your chest and follow it around to get the rig. Voila! I did that plenty of times on my Fundies course when I forgot the clip the main reg off and the instructor flicked it behind my head without realising......!
Never at any point in the PADI standards does it say that a given skill needs to be done kneeling, plenty of PADI course directors have said to me "well, do it neutral if you want to". I tend to introduce skills whilst kneeling, then get them repeated later whilst on fin tips and then whilst hovering. The "official guidance" from PADI on this has been there's nothing wrong with this, provided that students aren't task loaded.
With a recent strong (and small - only 2) students, I tried doing things differently for a number of skills. I demonstrated skills whilst neutral, and didn't say that they had to but one student managed it fairly well. Maybe a case of "monkey see, monkey do?" (no slur intended on the students - but student just copy what they see).
Finally, the big one, gas management..... personally, I tend to agree with the the commonly held view that going through gas calcs for each and every dive for an OW student is a bit much. But there's nothing wrong with introducing the concepts. At OW, I make sure that students realise that it's not how gas gas you surface with that's important, it's how much you leave the bottom with. It's easy then to introduce a few simple rules (MGR rules of thumb) and why the rules are there, and you've got the principles in place.
So, I don't find teaching PADI restrictive at all. I'd even go as far (with tongue firmly in cheek) that PADI is about as DIR as you can get.