The linkage had nothing to do w/ the pump being in the shape it was in.. THAT was totally done by human hands.. Lol
Glad she pumps for ya BUT.. have you TRIED to start it w/ the linkage hooked up?? or did you just try to see if it would pump..??
You might be trying to push against the flyweights & springs with your hand on the rack.. the centrifugal force on the flyweights of the engine running, will move the rack.. just be prepared to shut it down quick if things go bad..
Good luck.. TPG