Correct! It is indeed an IBM LPFK. The one you linked appears to be the newer version with domes (like the one webwit has) however, mine is the older version for the IBM 5085/5083 CAD / graphics terminals.
Webwit's
http://webwit.nl/input/ibm_misc/lpfk4.jpg
One reason why the "space unsaver" model F's don't need tenkeys is because you were supposed to use them with a LPFK.
There exists linux code to run conways game of life on it, or a binary clock.
You can tell the difference somewhat because mine has a wider distance from the edge of the keys to the edge of the case.
I wan't able to find much info on this one specifically, but unigraphics has been producing LPFK's for a while. The IBM dials is part of the same system.
I was able to find a picture of one that looks like it's from beam spring era IBM, but I don't know what switches it could have.
Here's the images I have in my imgur album. Please enjoy them. I have more pictures that I'll remember to update one of these days.
Controller Box:
http://imgur.com/a/XqcUR
(check out that old AMD chip!)
Dials:
http://imgur.com/a/G4e1P
(these retailed for almost $1000)
Unsaver KB:
http://imgur.com/a/tijZ1
(this has one of the largest controller PCB's in a model F I've ever seen)
LPFK
http://imgur.com/a/odZst
(I will probably put spare cherry keycaps on it and use it as a clock.)