I guess, but it only diminishes it in so far as the tube can no longer pass high plate currents, so it can't have values of gm corresponding to the values of plate current that it can't pass any more.
I bet that if you measured gm at a current below the worn tube's saturation current, it would measure the same as it did when the tube was new.
Hence why I recommend doing an emission test to check that the saturation current is enough for the job. You should keep the test short because oxide coated cathodes are damaged by running in saturation. If the cathode is already tired, testing it will just wear it out more.
I bet that if you measured gm at a current below the worn tube's saturation current, it would measure the same as it did when the tube was new.
Hence why I recommend doing an emission test to check that the saturation current is enough for the job. You should keep the test short because oxide coated cathodes are damaged by running in saturation. If the cathode is already tired, testing it will just wear it out more.
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