"...Could jamming this connector on slightly off kilter have damaged the plug somehow and caused the terminals to bridge>..."
You have the tool .. the ohm meter.. that can detect if two wires (or two terminals) are connected. As simple as it is, the ohmmeter is very versatile.
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It's handy to know how the meter detects a connection.
The ohmmeter sends a low-voltage current into whatever you connect it to.. probably about 3 volts. That's one main reason why the meter has batteries.
When one probe sends exactly 3 volts and 3volts are detected the other probe, the meter knows that no voltage was "lost" or used up due to "resistance" (ohms). That circuit is perfectly "closed", and the meter reads Zero ohms. (zero resistance)
But if the 3volts sent out at one terminal comes back as only 2 volts, some voltage was lost. Therefore the meter detected some resistance, and it might calculate something like 3,972 ohms of resistance in the circuit. (a fake number used for example)
If 3 volts are sent, and no volts at all come back, the circuit is an "Open" circuit... meter reads Infinite (or very high) ohms.
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The practical point of illustrating that is that you cannot use an ohmmeter on wires or in a circuit that is already carrying voltage or the voltages will get mixed up.. the ohmmeter will be confused.
So, before testing that "hot" connector for an internal fault, disconnect the car's battery.
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With the battery disconnected, that hot solenoid connector wire will not be hot. Both wires can then be tested to see if they are connected together, or connected to something in common, like the car's frame.
Sometimes, a little logic makes life easier..
"If A is connected to C, and B is connected to C, then A is connected to B."
The two wires could be mistakenly connected in many, many ways. You hope they are not connected. You hope that you won't have to search for their connection.
IF a connection is detected, and you have reason to suspect the connector body is likely at fault, you would focus on that first... but if the connector is OK, you'll have to investigate further..
Hopefully your meter will not see any connection between the two wires. That means the connector is ok... At least you'll know it's internal contacts/terminals are electrically isolated.