I know vk model had those alloy jap boxes that were junk....didn't know vh had 5 speed from factory although didn't really see or notice 6cyl manuals preferred auto 6cyl during my long roof early girl phase..
Celica 5spd kits were available then 5 speed supra boxes became common conversion...fairly sure those were just slip yoke change but by then I was out of 6cyls after blew up everything from flywheel to diff multiple times in gtr torrie
I honestly thought they came out in the VC...Going back 15 years ago (give or take), I bought a VC that had a blue 6 and and 5 speed fitted....The tin plate that covers the shifter hole looked like it had the original rivets in it, when I removed it to put into another VC...It wasn't until I checked into a Max Ellery manual I have here that there was a mention of it being available in the VH first.
I do have a Gregories 6 cyl VC manual here and there was no mention of a 5 speed in that....I also have a VH Gregories manual, but unfortunately that's for a V8 and I have no VK specific manuals....So I have just quoted from the Max Ellery manual....
The Supra swap, with the tailshaft, you have to swap the slip yoke and also have the tailshaft shortened 25MM, from memory, with the front portion....I only found that out 2 ish years ago, as a result of doing 3 C.V's in 4 years....Hardie Spicer noticed the slip yoke had been hard against rear extension housing of the gearbox, hence them needing to shorten the tailshaft, amongst a few other issues the tailshaft had at the time....