Well to be devil’s advocate depending on the load out of the destroyer (SM-2, SM-3, SM-6, ESSM, Tomahawk, VLS-Asroc (not even sure VLA ever deployed)) not all 96 have that thousand mile range.
Correct.
But the AA missiles are four to a tube. They likely carry at least 40 of those per ship.
And these have a range of only 300 miles...one per tube:
https://en.wikipedia.org/wiki/AGM-158C_LRASM
So, yeah, a standard “strike” payload is probably only 40-50 tomahawks. And a whole lotta hurt for everyone else.