I would agree in principle, but make an exception for Reagan...just as with Lincoln and Washington.
Vinson and Stennis are travesties, and lower the bar for minor Presidents and political games.
Since CVNs are our top of the line capital ships, I would prefer states (like the long line of BBs), but since the SSBNs are using up the names, then either battles or symbols would be good.
I myself hoped CVN 77 would be the USS World Trade Center.