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What's the bad news if my speaker doesn't work and shows 1 ohm?

Well if you are measuring directly from the loudspeaker terminals with an accurate meter with all cabinet wiring disconnected and thus not figuring in the equation, we can say for certain that you have a short circuit in your loudspeaker.
As I would imagine your loudspeaker was produced in both 8 and 16 ohm nominal impedance versions, if it was 8 Ohms impedance it would read less on the meter as the meter is reading DC Ohms resistance not impedance.
This is an 8Ohm nominal driver.
image.jpeg

Shows 5.6 Ohms DCR on a military grade fluke meter.
"your mileage may vary"
 
True, but show me a typical hand held ohm meter that can accurately read 1 ohm. I'm not convinced that the reading is correct. It makes sense to closely inspect the speaker for issues.
Agreed, but a damaged tinsel wire typically reads high or open.
 
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