Like knp pointed out, AA cruisers would badly mess up balance of the game in the first round because there are some important potential airstrikes on sea zones with cruisers in them at setup (z110, z111, z93, z97, pearl harbor?).
YGs cruisers that attack @4 with a battleship obviously has no impact on these except maybe a J1 pearl harbour which is pretty uncommon.
If you allow cruisers to take an extra hit when paired with a destroyer, z111 would be a little tougher so maybe UK scrambles or perhaps Germany diverts 1 more attacker to z111 instead of z110. Germany less likely to airstrike z93. No impact at all on z97 Taranto raid. So a small edge toward the allies in the opening round.