Yes, it sounds as if the ignition module is in the clear. However you should still have the engine isolated from the mower's electrical system when testing it: the more irrelevant variables you can eliminate, the more likely we are to find the actual problem.
Have you had the Tecumseh hunting previously? We started out dealing with a decompressor problem: did it also have a hunting problem all along, or has that just begun since you got it running again?