Most of your assumptions are true, but if the end point voltages are not reasonably close you won¡¯t see output at either end. You might find that if you supplied a tuning voltage to the YIG somewhere in the middle of its tuning range you would possible find output from the YIG but off in frequency by as much as 1GHz or more. If the endpoints are not close and beyond the tune range of the YIG +/-, there will be little to no output from the YIG. Many of HP YIG choice were either 3Vdc/GHz tune voltage, there is also another spec. of mA/GHz, but I cannot recall that now. There also exist 1Vdc/GHz tuning voltage YIG¡¯s.
Don Bitters