I have driven many 833's. With every clutch you can think of. Slick shifted too. It's removing every 2nd tooth on speed gear. Slick shifted opens shift quality and high rpm needs but that is IT. Slow shifting around town is not happening. No overdrive and has external linkage.

TKO500's are like old truck transmissions. They got a bit of respect in the hot rod world due to their torque ratings but reading your request AND all the replies. The answer is T56. AndyF mentions it will go in when it's ready. A T56 is always ready. It literally feels like there is nothing to wait for. It slips into every gear no matter how slow or fast you pull the shifter. No matter how slow you pull it in gear, once it's in the gate it almost falls in. Even neutral to first, instantly stops the input shaft and it falls in.
These are things NO formulas or bullet point advertising can tell you.

The only video I have to demonstrate my opinion was right after we installed the trans. I still was looking for higher/sooner disc release and we still had a super tall rear gear, 3.27. I was also a little shy on the 1 to 2 since the tires spin a bit.

https://youtu.be/OmY__bhaR20

https://youtu.be/KzTdXe9GU5g