Part of the problem is confusion about the meaning of "damper" and "balancer".
With a few exceptions (the 1953-54 Dodge 241 hemi didn't have a damper) every engine has a damper (Dr. F. W. Lanchester held a damper patent in 1906).
If the crank doesn't have enough material in the right places to balance internally, the extra eccentric weight needed to achieve acceptable balance is added to something outside the block, such as the damper, flex plate, etc. Combining the 2 functions (damper for harmonic suppression, balancer to correct crank weight) is a financial choice, they could be separate.
Using a damper with an eccentric balance weight on an internally balanced engine ruins the balance (unless, as said, the engine was balanced with that damper).
There is also some chance that the damper is not tuned to the engine's resonant frequencies, and will not reduce some harmonic torsional (twisting) vibration.