I cannot believe an instructor encourage any form of diving without training.
I can't believe that anyone would require formal training for most equipment type new forms of diving.
I look at it this way. If I am trying out new equipment, ex. pony, twinset, DPV, drysuit, and the manufacturer will let me buy it without a card, I'm going to head to the pool, then the lake/beach with it and practice, and see how screwed up I can get with it in controlled or semicontrolled environments. If I can find a mentor, all the better. I'm not headed for the ocean until I have developed mastery (at least in my mind).
If I'm trying out new techniques or philosophies to diving, and it is generally accepted that you can't do that type of diving with a dive operator without formal training, (cave, trimix, solo), by all means, go find an instructor.
Sometimes you have new gear and new philosophies (rebreather). In that case, hours of practice are part of the formal training required for card issuance.
One training agency has made their living issuing BS cert cards to unsuspecting divers, poisoning a whole generation of instructors. That gives us instructors who feel that you can't get in the water with a speargun without a "underwater Hunter" diving specialty, or you can't use a point and shoot without a "Underwater Photographer" certification card. I gotta tell you, when someone shows me their "Boat Diver" certification card, I don't feel a shiver down through my toes. Other training agencies have followed suit, seeing the cash cow that card issuance has become.
I understand why you think that formal instruction is needed to dive a twinset. Diving in the past 20 years has evolved into the feeling that anyone can dive if you instruct them enough. The fact of the matter is, not everyone can dive, some will never get it no matter how much instruction you give them. The longer you teach and are exposed to more other instructors and more diving philosophies, the more you will realize that only about 10% of instructors out there can really teach (I'm one of the 90%, so I don't teach).