Wouldn't that set a code and/or give me a CEL?
Maybe. Depends on what, exactly, is causing the misfire.
Keep in mind that OBD1 doesn't track misfire, specifically. OBD2 has a crank sensor that the computer analyses to track speed variation of the crank, looking for cylinders that don't perform. That's not happening on OBD1.
So there's this possibility--maybe even a probability--that the "vibration" you're feeling is the engine not running right, rather than a failed damper.
A damper that has failed in a way that allows torsional vibration will never be felt from the driver's seat. It's hard on the crankshaft, it's hard on the valvetrain, but you'll never feel it as you drive. A damper that fails in a manner that causes
imbalance, you might feel. Again, hard on the crank, hard on the bearings, and it might shake the vehicle.
Might be worth your while to get the engine up to temperature so that the vibration is evident, then do a cylinder-balance test. Watch the results on a vacuum gauge. As each cylinder is shorted in turn, the vacuum should drop the same amount for each cylinder. If the vacuum for a particular cylinder doesn't drop as much as the rest, that cylinder is weak. If the vacuum doesn't drop at all, that cylinder is dead.