steve from Sensenich, again.
Yes, different engine/prop combinations can work differently.
I'll admit that the Continental O-200 (A or D) did not result in typical service experience we've had with other 4 cylinder engines.
Propeller Harmonics and crankshaft stiffness combine in surprising ways sometimes.
Wood propellers inherently damp engine vibration very well, that's why there is no requirement for vibration testing for FAA approval.
Some carbon propellers are quite flexible, some are very stiff, and this can be in bending, flapping, and/or in torsion; depends on the particular design requirements.
They do not have the damping capacity of wooden propellers, though. Vibration testing will give you lots of data and insight, but sometimes you won't see things until many hundreds or thousands of hours later. Look at all the AD's that come years after successful service.
We've since designed a propeller with bigger blade roots for the Continental O-200 but continue to sell that original design propeller for other engine makes with good service experience.
As for Lycoming engines, we've been making carbon adjustable propellers for O-320's through O-540's since 1999, accumulating in excess of 48 million operating hours. While there have been some learning experiences along the way, I think our service experience has been quite good.