one of the questions around "bury" is that splices typically require to be accessible. so why do these in-wall NM splice devices allowed to be buried, but a metal 21 covered box cannot?
the 2014 defines what these are with "nonmetallic sheathed cable
interconnector devices of insulating material that are listed". That specific language is not in previous editions of the NEC. It is a splice but it's designed and listed to be inacessible after install and not need a j-box.
Also, you can only do a 1 to 1 connection with these. Jboxes might have 2 cables, or 5, but either way they arent listed to be concealed.
If I did have to install another one of these, I would include a note attached to the panel exactly where it is, so if it were to fail, the next electrician would have a clue. I'd also (and have) messed around with these in the shop before installing in the field to know if it is going to be the time saver it appears to be.
As for the solid/stranded question, 12/14ga NM isnt available in stranded, and since that's all it works with/is listed to be used with, it's a moot point.
Also see 300.15(H).
Here's a whole article detailing these in-wall splices.
http://iaeimagazine.org/magazine/2014/07/10/enter-the-nonmetallic-sheathed-cable-interconnector/
There are also similar devices for in-wall receptacles for hiding wiring for wall mount TVs. I used one last week. The factory simplex receptacles, pre-terminated on NM cable, actually make the backside of the half-round j-box. The bottom receptacle uses a reverse pinout (it's a male plug, not a female receptacle). A piece of Wiremold or a recessed receptacle tapped off an existing one would have been faster to install, looked as good or better, and much cheaper than the kit that HO bought.