Stop in for a cup of coffee

Inside the starter relay
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Key in start, NSS grounded, the electromagnetic field closes the switch from the Battery to the Solenoid.
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I really don't think the connection in the relay can be anything by open or closed. Not sure its possible to have a weak connection due to low current from the key switch o poor ground, but I guess it depends on how its built.
Ok so making sure I’m following you. Connect the NSS to the battery(check), jump the two terminals above, then turn key to start?