I'll have to back track where I got that from.
I just did a 'history of inkle loom' search.
This SCA article gives some historical references, and being an American one, they make the point it came from England in the 1930's but finds the term in Shakespeare.http://www.inkleweaving.com/notes/history.html
I've found this in several other places also.
I reckon that seeing as 'inkle' is an old English term you can't trust that it may just have become attached to these type of looms later because they are mostly used for making strapping. I would guard against 'others' retro fitting the loom to the weaving type.
It's a 'show me the find' situation!