Throttle cable question(s)

Sticking can be caused by the plastic inside the carb end getting cooked and then jamming.

Especially if it is broken in several places.

Back in the day I had a 289 in a 63 Econoline van. The cable would go so far that the plastic part was completely out of the outer part it slides in and out of. One day at full throttle, it cocked sideways and stuck open.

Wild ride back into the parking lot I just left.