I really need to save my write up on why I think they're not worth the time. A lot of guys really like them, and if they work for you, great. Here goes:
1) The things are tremendously large compared to a standard pair of cuffs, which means that they won't fit in to most regular handcuff cases. The duty gear manufacturers have done a good job of getting cases out there by this point, and that's good, because some of the ASP brand ones look like cheap junk. If you want to wear a double case, you should be aware that it will stick out even farther than a reguar double.
2) It is far too easy to flex the single strand outside of the double strand, which not only prevents cuffing, but the binding effect can get the assembly pretty well stuck. This is not impossible to do with good 'ol steel, but it's much easier with the ASP cuffs.
3) The double keyways and single turn unlocking make the cuffs easier to unlock for you, and easier to pick for them. I was always taught to cuff with the keyways up (and double locking pins out) because it: a) made it easier to remove the cuffs and b) made it harder for the cuffed person to stick things in the lock holes. This is obviously not possible with the ASP cuffs. Further, the "double lock" feature on handcuffs is supposed to serve two purposes: a) prevent the cuffs from tightening by locking the single strand in place and b) make the cuffs harder to pick by requiring the key to be turned both ways. The second part (the actual security feature) is not present on ASP cuffs.
4) Sliding double locking bars suck. They've always sucked, and they still suck. The only thing that the ASP double lock slider has going for it is that it's bright colored, so you can at least see that you're ****ing it up.
5) The polymer edges on the inside of the double strand can, and will cause cuts if the cuffs are appplied too tightly or the person is overly "active" in them. I've seen it with my own eyes. This may be something that has been fixed in later models, but all of the ones that I handled had a pretty good edge on them on the inside. That's troublesome.
6) On that same note, plastic is fairly porous, which makes decontamination something more of a concern. While that just means you have to clean them more thouroughly if they have been bled on, blood tends to stain the plastic on the things, which means that the cuffs may appear to be contaminated when they are not. I had a coworker toss a pair in the trash after getting blood on them because he did not feel that he would ever be able to be sure that there was not fresh contamination on them.
7) Older pairs could be "flexed" apart. This should be eliminated by now, but I don't get how you put a product to market that can be taken apart by somebody of moderate to above average strength with nothing but a little elbow grease and determination. Handcuffs are a temporary restraint, obviously, but this was ridiculous.
I guess all in all, I see these things as an answer looking for a problem. Their success is a product of good marketing and lots of free pairs given away in training classes. The only thing that I can really say that I like about them is the flat portion on the single strand, but I also don't think that it provides any real benefit in 99% of situations. I do agree with those that have stated that they have a very smooth action, but I have found that most S&W and Hiatts cuffs have actions that are equally smooth or better.
Your mileage may very, but I'm gonna stick with my "outdated" metal Peerless and S&W handcuffs.