I'm betting theres a few 67-72 "softbodys"out there....but I'm guessing your talking trucks?...Haha
Never heard the term used for those model trucks....
The only nickname I've seen for 67-72 is action line...
https://en.m.wikipedia.org/wiki/Chevrolet_C/K
A new, more modern look came for 1967, along with a new nickname: "Action Line". It was with this revision of the C/K truck that General Motors began to add comfort and convenience items to a vehicle line that had previously been for work purposes alone.