You say that "The draft is an effort to prove that the TLS working group, which almost exclusively deals with large-scale devices such as laptops, phones, and servers, will listen to and address the needs of the embedded devices (IoT) community" but you don't present any evidence for that whatsoever. Rescorla's presentation of this at the IETF just gone didn't sound to me like he was trying to "prove" anything to the IoT community, whether to the extent that's represented by core (the working group that produced RFC 8613) or in a broader sense, it would surely make sense for anyone trying to do that to present _to_ that community and not to the TLS Working Group.
cTLS is just smaller TLS, it doesn't even say "This is for embedded" anywhere. The reason TLS itself isn't smaller is purely for interop reasons, if you don't have interop concerns (e.g. there aren't middleboxes in your network) then cTLS in principle gives you all the same benefits for less bits on the wire.