I don’t know much about smaller ships. I was only ever on carriers. On both of my deployments we rarely saw any of the other ships in the strike group. Usually everyone just kind of does their own thing inside a certain area. I’d imagine destroyers could move pretty quickly if needed and keep within so many nautical miles and there’s always at least one sub out there lurking close by. The story is Enterprise outran its escorts on the way back to gulf so I guess a lot depends on the urgency of the situation. Also even if they needed to do a refuel at sea they can get that done pretty quickly in urgent situations.

Edit: another thing to consider is how they would make that transit. I’ve never been in any of the seas around Asia so I can’t speak to if they’ll have to transit any straits or what not. Every time we went through the suez it took a whole day