After I made my comments about other model years and Chrysler big-car models, I went into the KYB website and looked around for what they offered. For some reason, no 1961 Plymouths or Dodges, but seems like there were '62s and '59s?
What they showed for the front shocks had a metal tube over the shock's shaft, as other brands showed an exposed shaft (typical front Chrysler shocks), which were their monotube shocks. I somewhat doubt that metal tube would work very well if the stub frame on the '62 is like the '66 and later stub frames, where the front shocks have a tube they reside in (which seems to limit the size of the shock piston of the front shocks to 1" diameter).
When I looked at Gabriels and such, their buyer's guides showed a model year range of '57-'64. Front and rear. Which makes the KYB model year gap more curious. All of these shocks look more "typical Chrysler" in appearance.
As the cars get older, more and more parts which can be combined get very prevalent. Like if two shocks have the same compressed length, but different extended lengths (not unlike B-body and C-body rear shocks), the shorter extended length might end up being what the later catalogs might list for everything. I found something of that nature in the late 1950s rear shocks. Judgment calls?
So, end result, get what you can get and know that it will fit, according to their catalog.
I, too, suspect that Chrysler did not have a "one model year" shock calibration on the '62 full-size cars. It MIGHT have started out that way, BUT it could have been superseded by another model year shock a year or so later. I've got some old Monroe parts books, but they are archived at this time.
Happy Holidays!
CBODY67