possibly pushing further down the wives tale path...but I think this some of this makes sense.
I've heard of (and seen) places where the carp population has overrun the available food supply (weeds), and turned a cover-rich, healthy lake into a barren bowl. Other fish still survive, but its certainly not as easy for the little ones to hide from the predators, which could hurt the population. Also as a fisherman I like some amount of weeds, because it defines the highways and ambush points that the predators use. Somewhere between too many weeds and too few weeds lies the right balance. If I were doing it I'd start with a small number (below recommendations) and see how it went for a year or two before increasing.
Another challenge might be competition for spawning areas - if you have a pond with very little good spawning habitat, the carp roiling around in the shallows might be a problem for the bass and panfish. Maybe not in eating eggs, but in spoiling beds and pushing the spawning fish away. I suspect they'll find a way to do their business anyway, but it could be a factor.
Among wives tales that I have heard but cannot confirm are that the sterile introduced carp sometimes figure out a way to reproduce and overrun a lake.