Kickdown issue

Stopping point on the transmission? On the linkage? On the carburetor? If the lever on the transmission is all the way back, then it's time to remove the pan and see if the valve body is adjusted correctly.
Stopping point on the transmission
So that HAS the part throttle kickdown. Then something is afoot.
I only used the case. The guts were from a big block 727 of unknown own year