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Hehe, glad nobody came up with a machine that threads from the rear. Maybe because I do some sewing with old round shank needles, in addition to flat shanks from three different directions, I finally got into the habit of feeling the needle for the long groove before threading.
Really curious about threadstarter's initial question, though - hope you keep us posted. I didn't know there is a sideways adjustment to the needlebar in the 201..? Is there any room for sideways movement at all?
Here's an illustration (from a Singer Slant service manual) that shows that offset needle sometimes is a rule. I don't suggest this applies in this case though, wrong position as far as I can see.