No not normal, but the inserts are cheap to replace, or if you call the rifle parts supplier/ or manufacturer if a complete build , chances are they will just send you a whole new extractor spring with insert instead.
As for what the insert is doing, it not so much to add spring tension, but to keep the spring from collapsing sideways as it being compressed.
Being that you can pick up a Colt M-4 extractor spring with insert for around the same price as the insert itself, if you need to buy a insert, then just pick up a new M-4 extractor spring with insert instead.
As for your insert, it was damage when it was being installed in the spring to begin with, so don't freight thinking that it was something you or the rifle did to destroy it in the first place.
Also a quick note, long time ago, the insert color was just a marker for the tension on the spring. With Colt, the Blue insert designated that the spring was standard tension, and the black insert designated the spring as the stronger tension M-4 spring instead. Along came other suppliers, and since they did not hold to these standards, you can end up with all kinds of spring tensions with different colors inserts. I bring this up, since unless you are buying a "Colt" extractor spring, it having a Black insert does not always mean that its the stronger tension M-4 extractor spring to begin with.
As for the military, since there are two different springs, they just stock the GSA M-4 spring as replacement springs for all the rifles now; which even FN uses that tension spring for the M-16 new builds as well.