I don't see anything wrong in that WikiP snippet, but I also don't see anything in it about the FAL or a Belgian design.
It is probably that you remember that in the 1950s the new West German army (Bundeswehr) used some FALs and wanted to have them made under license in West Germany. Since FN would not agree, this never happened and the Budeswehr went with a completely different design. Which had been a German concept to start with, that being the G3.
The G1 was the FAL, and the G2 is a mystery to me, as is everything between the G3 and the G36. There must have been a lot of experimental models.
“There’s a rattle in my glove box,
A Federal twelve-gauge slug.” – Adam Carroll in song Porter Wagoner