Difficult to get A833 four speed into reverse

Do you have slop in the linkage? Did you use a Pin to align linkage to shifter?
https://www.holley.com/blog/post/how_to_adjust_a_hurst_competition_plus_four-speed_shifter/

Did you change just the shifter handle? The "shifter" is the mechanical box bolted to the side of the trans, did you change that also?

The "twist" may be compensating for a loose shifter or misadjustement.

Yes it is adjustable. And need to check for loose or worn parts and linkage.
I did not touch any linkage so it is the same as before I changed the 'handle'. I evidently mis-spoke in the original post. I just changed the handle. Bayonet pistol out - correct handle in.
I guess I'll need to locate someone in my area that is knowledgable in adjusting and setting the 'shifter' and linkage.