Sorry, I spend all day with other engineers and forget to be clear. If you have a bad connection it looks like a resistor so anything that doesn't draw a lot of current, like a voltmeter, will be relatively unaffected but something like the fan that needs a big pulse of current at startup might not operate. Ohm's law says E=IxR Voltage = Current x Resistance so if the resistance is low like a proper ground connection a lot of current can flow without a voltage drop. With something like a loose connection where an oxide layer builds up the resistance of the connection causes a voltage drop as more current is drawn. The same effect you see when your lights dim when the ac comes on. The high current draw of the ac causes a voltage drop because of the resistance of the wires.
Does that help or did I just make it worse?