on the three piece iron bodied transmissions. Is the linkage the same for each different design. Flatback vs. Slopeback design?

I don't know. If you know which cars came with each transmission, you could look up the part numbers to see if they are the same.

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Whoever said there's nothing more expensive than a cheap Mercedes never had a cheap Jaguar.

83 300D Turbo with manual conversion, early W126 vented front rotors and H4 headlights 400,xxx miles
08 Suzuki GSX-R600 M4 Slip-on 22,xxx miles
88 Jaguar XJS V12 94,xxx miles. Work in progress.

As I remember, there are two different configurations of shifting arms on the iron box. One has a splined attachment to the shift arms the other has two flat sides (the 3 shafts that the arms attach to) and the arms slip over and are bolted on. That configuration MAY use the same shift rods as the one piece box but I dont think the rods from the splined ones wont work. You will have to investigate further to be sure. I no longer have any trannies lying around.
My guess would be they are not interchangeable but you never know, like I said, they might be. Hopefully someone will know for sure.

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1985 Euro 240D 5 spd 140K
1979 240D 5 spd, 40K on engine rebuild
1994 Dodge/Cummins, 5 spd, 121K
1964 Allice Chalmers D15 tractor
2014 Kubota L3800 tractor
1964 VW bug

"Lifes too short to drive a boring car"