Well, I guess my question is, are people replacing the zipties on such inflators with cave line? Or are there special "DIR-compliant" inflators? If so, I missed those on the various lists of things I've seen.
You don't use it when something else is better for the job. I think others have done a pretty good job explaining why a length of cave line is better than a zip tie for snaps.
However, there is no pronouncement that zip-ties are never to be used . When are they better than cave line? In areas where you need clamping pressure (remember, cave line is used on bolt snaps as an attachment point, not airtight or pressure point). Where can you have zip ties? The corrugated inflator hose is fine. The mouthpiece of a second stage regulator is fine. In fact, my GUE instructor told me that he prefers the backup bungee be zip-tied behind the mouthpiece rather than double-knotted. One thing to note is that all of these examples appear to be static connections, with no swinging, swiveling snap acting as a lever arm that can stress the tie or twist/torque it broken.
I have a huge pack of zip ties in my dive tool, because they often come in handy. But they're not superior to cave line for bolt snap attachments, which is why DIR divers don't use them for that application. As for using two zip ties to prevent twisting, sometimes that doesn't work (especially when you'd like to vary the length of the connection), and even when it does, well that's just advocating using multiple items to duplicate the functionality/reliability of a single alternate item, which is practically an admission that the former isn't ideal.
It may be that you're misunderestimating one of the premises behind DIR. The system is not about using whatever method anyone can come up with in order to achieve a defined level of functionality, particularly if that method is inferior or overly complex. It's about creating standards around a solution that's as close to ideal as is practical. For bolt snaps, zip ties aren't better, so they're not used. As clamps for hoses and regulator mouthpieces, they do work. Things have their place.