Well,the A body was the Valiant and Lancer (62 last year for the Lancer)
The B body was brand new in 62 with the Savoy/Belvedere/Fury,and Dart (62 only as a B body)Polara/440/330.(220 model offered in Canada only 63-64)
Loosely,the 62 Chrysler-and the orphaned Dodge 880 would be considered C's even though Chrysler did not give the full size cars the C moniker until 1965.
For reference,I would say,yes.
1962 was a big year for changes inside Chrysler.
Shuffling of designers and designs Virgil Exner fired,Elwood Engle came in from Ford),changes in model line ups only led to confusion and thus even today still some confusion.
Plymouth was not available as a full size car for three model years (62,63,64)
Desoto was dropped and the full sized Dodge filled the gap.
It was basically a Chrysler with its own front clip ,dash and rear tail treatment.It was what the Desoto would have been if it were kept alive.
The Dart nameplate is the only nameplate seen on three body types.
It was on full size cars 1960-61.It was a B body for 1962 only.Then in 1963 is was on the A body up until 1976.