Great video explanation of what you are working with!!!!
I'm certainly not an expert on the t-18/t-19 hierarchy but I am dealing with a very similar situation now.
The novak information is probably the best reference out there, I've done some work on trying to write up something similar regarding only IH apps, but have not really gotten very far with that.
The transfer case adapter you point out will fit either trans and you must use it to mount the d20 (or a d18 tc to the azzend of either transmission.
The pic attached is a t18 from a Scout 800 four cylinder application (note the pancake bell housing), that shows that same transfer case adapter.
The only true way of making a positive id on this stuff is remove the shifter top and look inside or tear 'em down)! Ass the novak info suggests, many of the cases and shifter tops were used indiscriminately on this stuff over the years!
Also, the orange tranny in your video shows a metal tag under one of the shifter retainer bolts on the driver side, post the numbers on that tag which will more positively id that transmission. Then look closely for a similar tag on the other unit. That tag will have the bom number from warner gear, along with an IH part number or code, then we can look that up for ya.
The main difference between the two units, the t18 is a non-synchro first gear, the t-19 is full synchro for all forward gears.
As to "close ratio" vs. "wide ratio", pull the shifter top and look at the first gear diameter/tooth count, the wide ratio unit has quite a few more teeth than the close ratio as that gear is a much "lower" ratio.
Also, make certain that the bull gear that is currently on the tranny is a proper match for the transfer case. The bull gear has a spicer p/n stamped on it, so do all the gears in the d20. Use the novak guide to match the part numbers. It's very common that folks are running around with the wrong bull gear setup! The spline count is easy to see! But the pitch angle of the helical-cut teeth can't normally be detected unless you have each type gear side-by-side! Using a flashlight and a mirror, you can barely read the spicer p/n on the mating gear inside the transfer case when it's removed from the tranny.