The "over center" switch? Where in the service manual did you (or 'they") find that term?

What switch are we talking about? IF you are saying the top goes UP but not DOWN,then it's either the TOP OPEN switch or the DIVIDER SWITCH.
Kind of sounds like you are talking about the TOP OPEN switch. Bypassing the top open switch is a BAD idea, you can bypass the divider switch, but the top open switch is not one I'd bypass.