I like the idea of being able to spawn LVTs at PT spawns. I'm not quite sure how you would think it could resupply a CV group though 
Yeah I'm not sure what would be the best way, nor if it was possible in RLF, but the CV's had to be supplied somehow. Right now if the CV is damaged you have to wait for it to repair itself, which I assume is 1 hour. Tried landing a goon on one and was successful, but the supplies would not take. Just seems that there should be some way of resupplying it though.

Now that I think about it, the LVT's took troops ashore and supplies, and brought the wounded back out to the ships, so they had to have had someway of offloading from the LVT's to the ships.
All that having been said, it may not be practical in the game here.