Now, what would be interesting is this...
The CV has respawned from the port. It now has a full load of troops - whether that number be 50, 100, 1000. Once the CV sails, that's all the troops it gets. Every time you spawn an LVT for a base capture and it gets killed, the CV loses those 10 troops. Once you've spawned and lost enough LVT's, the CV runs out of troops - it's out to sea and babies don't grow up that fast.
Once the CV has lost its troops to the point it can't spawn an LVT with 10 troops, you have to sail back to your home port to "resupply" the CV with troops again - assuming you still own the port. Or perhaps sail to the nearest friendly coastal base to resupply the CV troops.