Fuel sender is reading 62 ohms. A gage tester would use 73 - 74 Ohms for Empty.
So a gage connected to yours would show nearly empty.
(See Dana's
graph of three sending units and you'll see they don't all read 62 ohms at the same level.)
I'm afraid you lost me after that.
You can test continuity a couple ways.
1. Power off. Meter connecting between two points in a circuit. Meter will supply a tiny amount of its own voltage to figure resistance, and display in ohms or open.
2. Power on. Test with with a meter that can read voltage between the point and ground. This only indicates power is present. It does not indicate quality of the connection.,
Take this image. It looks like red probe is on the wire terminal, and the black probe is on the fuel tank?
View attachment 1716220653
Are you trying to say the connectors are both showing the IVR is at least somewhat working?