No serious reasons against EANx: for the 0-20m range, there is simply no need for it, you'll be OOA before hitting NDL. For repetitive dives in the 20+m range I see the point.
It depends ... if you're diving a relatively square profile at 20m, you can run yourself into deco fairly easily on a single cylinder of air ... assuming you've got a reasonable consumption rate and you're diving something larger than those oversize beer cans that most dive ops use for cylinders. When I'm out on a fun dive, and not using my sidemount tanks, I like to use HP130's ... that can keep me at an average depth of 20m for about 80-90 minutes before I reach my reserve gas limits.
Why not: hassle (have to order nitrox and check O2 concentration, need to pay some extra $). Of course if I can add one more dive a day, I definitely go for nitrox.
Again, it depends ... where I live, nitrox is as easy to get as air. Sure, it's a bit more expensive ... but typical profiles here make it easy to do dives that average between 20-30m. If you want to get a reasonably long dive then the added expense is worth it.
Rhone Man: this is how the dive industry works. They need to "Put Another Dollar In" to remain solvent.
It might surprise you to learn that PADI doesn't, in fact, make every decision there is to make in diving. In fact, of the two dozen or so C-cards I've collected, not a single one is PADI. They have absolutely no influence over my diving choices.
Why trimix and deco are privileged for the Tec community and not taught at even DM level? Simple dive-shop logistics and financial reasons. Of course, it profits better if you sell every bit of knowledge separately and issue separate cards at each level. More than that, it would be a serious investment for a dive shop to rent doubles & offer trimix as a routine.
There are very good reasons why making trimix available to typical recreational divers is a bad idea ... the most obvious being cost. If you're complaining about a $10 nitrox fill, imagine how you're gonna feel when you go get a 21/35 fill in a set of doubles and the bill comes to $80-$100. A more practical reason, however, is that helium ongasses and offgasses MUCH faster than nitrogen ... and people with questionable buoyancy control can bend themselves fairly easily breathing helium. It's "privileged for the Tec community" because it's generally assumed that by the time you get to that level you'll have solid buoyancy skills, and be able to hold the stops where and when the profile calls for it ... because you HAVE to. Blowing a safety stop on a recreational dive might increase the risk of DCS, but it generally doesn't result in a hit. Blowing a deco stop on trimix usually will. No dive shop in their right mind is going to risk that kind of liability on the assumption that a typical recreational diver will have either the chops or the self-discipline to manage mandatory stops.
From a practical perspective, once you start diving doubles and trimix, the cost of training is only the down-payment. A decent doubles rig ... with tanks, bands, and regulators ... will run you $1200 or more. Add in a deco bottle or two and a couple more regs and the cost of the trimix class starts looking rather insignificant compared to what it takes to dive that way.
There is some variation between agencies, the BSAC and CMAS at least teaches deco for advanced rec divers... (cmas***, BSAC sports diver)
I'll betchya they don't teach trimix, though. There's nothing magical about exceeding NDL ... as long as you have the gas and the discipline to honor your deco obligation.
Trimix is a whole 'nother issue ...
... Bob (Grateful Diver)