The modern day version of these speakers do a fantastic job and do the same thing very well. I am a user of the small speaker and believe they are very very useful for mixing on. You don't even need an expensive Avantone speakers either. I have just got a small powerful driver in small box and it also works very very well. Just as well as the original Auratones.
The speakers in these small boxes are not full range drivers at all. They have a limited low and high end. It is the mid range that exposes everything in your mixes so much.
Another thing, I believe it is better to not use two of these and switch them into mono. It is better to use one only and feed a L+R signal into it instead. And keep the volume well down while you are listening to them as well. Sit right in front of it. The reason why one works so well is it shows any mono compatibility issues straight up and is also great for preventing things that you may have panned extreme left or right from getting lost in your mix. As the mono sum signal tends to push sounds that are panned centre up a little. If you are loosing the extreme panned parts then all you have to do is just nudge them a tad so they become audible again in the small speaker. Then when you go back up to your main speakers again you will find not much has changed there with those parts. But now you have satisfied two speaker systems rather than just one.
They are not just for mixes that end up on TV's etc. They are very effective for hearing how your mix will sound on a full range system. They are fantastic for dealing with dense mixes with lots going on. They are great for setting vocal levels correctly over the music. Things that are even just slightly loud in you mains too like a snare that might be just a tad loud, and you wont hear it so much on the mains, tends to leap out more on the small speaker.
You won't get an original Auratone easily or cheaply and it will more than likely have been destroyed over many years of use. Don't waste your time trying to get one, it is unnecessary.
You still need to check your mixes up loud on your mains though primarily for bass and reverbs. You wont hear them very well on the small speaker. Saying that though if you do set reverb so that it is barely audible on the small speaker it is often just right on your mains. Buy your mains will always let you hear reverbs a little louder. There is some ground where you can get reverb barely audible on your mains and just hear it too on the little speaker. You have to juggle that slightly I have found.