Try a thin coat of graphite on the spindle.
My platter is a bit different, but when removing it I place a small piece of wood across the spindle. Then hold the platter with the fingers, push down with the thumbs on the stick, this way you can pull straight up without lifting the whole table.
My platter is a bit different, but when removing it I place a small piece of wood across the spindle. Then hold the platter with the fingers, push down with the thumbs on the stick, this way you can pull straight up without lifting the whole table.