That's a possibility, but I would get proves of that before replacing it. If the inputs of the module are correct, and the outputs are not, it's defective.

The short finder is not as sensitive as an ohm meter. For this reason, you could find a "short" even if there is a coil in the middle. Getting "shorts" on several pins I think is normal. The coils have one primary side common, the other sides go to 3 individual pins and that is where they are triggered.

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2004 E500 4Matic 138,000 miles