Removing queen cells is a good way to turn a queenright hive into a queenless hive....why...because bees will often swarm within a day or two of capping a queen cell, not waiting for the new queen to hatch.
The best way to manage swarm reduction (prevention is debatable) is to super early #1 and keep the brood chamber open #2. Essentially keeping the brood chamber open is replacing frames within the brood chamber with foundation or foundationless frames. Generally speaking, bees busy building comb in the brood chamber won't swarm, but with bees "generally" doesn't mean always. Another way is to produce an artificial swarm by splitting the hive and moving the queen to the new location and letting the original hve create their own queen #3.
If you're cutting queen cells out, why not use them to create nucs? which is the 4th tool in swarm management.