I have to agree that it won't be anytime soon, unfortunately. If I had to guess, I'd guess it will happen over the next few decades.
While it is true that we know how to breed many different fish, there are only a few companies that do so consistently (so we have limited stock), and there are still many fish that we have yet to be able to aquaculture. Predator fish are a great example of this (I've only heard of lionfish spawning in captivity once), as are very common fish like Salarias fasciatus (A.K.A. the lawnmower blenny). Similarly, fish like wrasses that pose special challenges to keep and breed in captivity (at least for now - I don't believe that any species is actually impossible to breed in captivity, I just know that some have more particular needs than others) are incredibly difficult to breed in any way, let alone an efficient manner that would make sense from a business perspective.
*Plus, we mainly keep tropical, non-commercial (read: not typically consumed by humans) fish, so there's still a lot of temperate fish, commercial fish, deep sea fish, etc. left for us to learn how to aquaculture in captivity. However, as was mentioned above, a lot of these fish just don't make financial sense to breed.*
Once enough species are captive bred on a regular basis, I think we'll start to see a transition over to them (particularly if we can get the sales costs down for the captive bred fish), but there will always be some holdouts who prefer the "more natural" wild fish for one reason or another (see the captive bred yellow tang threads here on the forum for potential reasons). As far the pricing goes, normally I would say that the price will come down as the number of available fish goes up - and that's probably true for many species - but, looking at captive bred clownfish, I think the more popular ones will probably stay pretty high for the most part. It could turn into a "breed" thing like with cats and dogs, where your generic "clownfish" goes for a reasonable price and your "purebred clownfish" goes for an insane amount, but only time will tell.
Personally, I think two of the best things we could see for the hobby in this regard are more hobbyists breeding fish - not just clowns and bangaii cardinals, but other fish as well - and individuals and companies working with public aquariums to provide both common and rare captive bred specimens. The hobbyist breeding could help to greatly increase the number of fish available and decrease prices, and the working with aquariums could provide access to a wider, relatively stable market - particularly for large or rare/expensive fish.
Just my two cents here.