The cruiser classification is obsolete and useless. For all intents and purposes, modern naval combatants are either frigates or destroyers, and the line between those two are blurring as well. The only reason the USN stuck to the "cruiser" classification is because they felt insecure about the Soviet Kirovs. The PLAN does not share that insecurity and they have chosen to call the 055 exactly what it is; a destroyer.
Let the "cruiser" classification die.
The real reason USN stuck to "cruiser" classification is all about Navy ranks.
DDG CO is a Commander, CG/CVN CO is a Captain. So if USN doesn't have cruiser anymore, they will lose several captain slots, that's bad news for the whole navy rank structure. The navy officer promotion will be out of order.
However PLAN doesn't have cruiser to begin with, so it's not a problem for them.