Is the purple wire disconnected from the starter? Do so and test again.
@ak diesel driver is saying the connector looks melted. So the terminals may be corroded in the connector.
I am not clear on the tested starter. You wired it direct to the battery incl the purple wire conection on starter and nothing? High current can make a high resistance connection look open. Test light across ground cable to battries and again positive bat cable. And hit starter jumper. Light on means bad cable or connection. Retest batts. Something not adding up.
With a 10amp fuse I would put 12v to purple wire to see if it's shorted. Fuse pops it's shorted somewhere.
You are making progress. It's harder without manual, but, you are tracing one wire.
All else fails run a new purple wire directly from switch. Lift pump on crank is a separate new wire run to relay. Make sure the crank in gear is mechanical blocked.