It's a Brompton, which, unlike common folders (Dahon, etc.), uses a fork to keep the front wheel attached to the frame… which after my customizing work, pushes down on the cable, with enough force to end up pulling the fixing bolt a bit further away, which messes the indexing. At some point, the barrel adjuster on the shifter is no longer able to take up the cable slack.
Using Shimano's non-turn washers requires filing down the frame to point the cassette joint pulley arm ~ in the right direction, because the original slots are thinner and the washers won't fit.
But I found a simpler work-around: Either moving the hook a bit further away with a
flat bracket so it will (almost) not rest on the cable, or I'll simply ditch the hook altogether and use a velcro strap to attach the front wheel to the frame, which isn't a major issue since I actually don't need to fully fold it that often (travel bike).
Thank you!