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I don't quite understand the description of the system you give on the
IAGO site. It seems there is a typo in the captures description.

Could you give examples of how you would denote a Checkers capture, a Go
capture of a chain of 3 stones, and a reversi move that flipped 3 stones.
How would you denote a capture in the Checkers variant which stacks the
tompost chip of captured stacks under the stack that captures them? (e.g.
if I have a stack of 2 white chips on top of 3 black chips, and would jump
with this stack over a stack that had 1 black chip on top of a white chip,
taking away the black one, leaving behind the white one, landing on its
target square as a stack of 2 white chips on top of 4 back chips.)

Another point: To call this 'a FEN for movement' is truly ridiculous.
FEN means Forsyth-Edwards notation, and neither Forsyth nor Edwards have
anything to do with it. It is a bit like calling the wheels of your car
'Dollar bills for driving'.