The T-AOE has the speed and armament to keep up with the carrier battle groups of the USN. Question is what will speeds of carrier groups of other navies likely be, which will be determined by the top speed of their carriers and escorts. I believe in most cases these are lower than CVN and DDG51, and so lower speed AOR rather than AOE will suffice.

CVN Nimitz / CVN Ford: In excess of 30 knots.
Sao Paulo (Clemenceau): 32kn (in her good days)
Kuznetsov does 29kn, Liaoning supposedly 32kn (like Soviet Kiev class).
Vikramaditya 30+ knots (Kiev class originally listed 32kn).
Vikrant 28kn.
Charles de Gaulle 27kn.
Queen Elizabeth ‘in excess of 26kn’ .

Udaloy class: 35kn
Type 055: in excess of 32kn
Ticonderoga class: 32.5kn
Slava class: 32kn
Type 052C: 32kn
Type 052D: 31kn
Arleigh Burke class : In excess of 30 kn
Daring class: In excess of 30 kn
Horizon class: In excess of 29 kn
FREMM: 27+/30+ (depending version)