I double-checked the fit of my knee lever with the single hardware piece on the end panel of the lid, and definitely neither end of the lever will fit. Perhaps I don't have the original lever, but it does fit on the shaft that connects to the controller. This is the only knee operated machine I've ever actually seen in person, so I don't know how many other lever designs, or orientations for storage there might be. But, it seems clear that this lever doesn't fit this mounting bracket.
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