if I'm looking at your picture correctly, clutch linkage.. it gets a boot as it deflects slightly when it strokes..
ETA; relative to the floor mat button, looks more like speedo grommet.. can't remember exact size but it was big enough for the nut to slide all the way down to the trans, after I installed it the first time
and assuming you're working on a 62, maybe clutch linkage routes differently?
left to right in my '65 4spd picture, brake cable, speedo cable, clutch rod..
hope that helps, good luck!