1965 904 Transmission Normal Operation?

I've had my 65 Barracuda Formula S together and running for a number of years now but still wonder if the transmission operation is normal. It is a stock 65 904 cable shift trans that shifts normally except for down shifts. It will not downshift from 3rd to 2nd gear under part throttle. It will drop all the was to 1st when floored. First off I have adjusted the kickdown to stock specification and fine tuned it up and down.. changes nothing. It will manually shift to 2nd with the floor shift.
Somewhere I remember reading that this transmission does not downshift to second by design. True or false?