The Wasp — sort of a bargain-basement Yorktown — was assigned to bolster the British Home Fleet in early 1942 so that the Royal Navy could deploy more assets to the Mediterranean (and to counter the Tirpitz if she ever sortied). She was called back in mid-year when the loss of Lexington at Coral sea and Yorktown at Midway made her presence in the Pacific imperative.
IIRC the Ranger and the Wasp were the only fleet carriers in the Atlantic/African theater from the US. There were a lot of escort carriers though.
The Wasp and the Ranger were kinda small too and only barely merit a fleet carrier designation.
Just my $0.02 though…I have no idea how the navy officially regarded them.
Wiki doesn’t say, but I’d have no problem with calling them both fleet carriers (although on the small side, and soon obsolete).
Wasp was severely compromised from the get-go by trying to fit a full aircraft complement into the remaining tonnage allowed by the Washington Naval Treaty. Since she was capable of deploying an air group similar to the Yorktown class, by that standard she was a fleet carrier; unfortunately, among the sacrifices were armor and avgas protection.
(As the Wiki article points out, she was also the first US carrier with a deck-edge elevator — sort of a Ferris-wheel contraption that rotated the aircraft from the hangar to the flight deck. The article doesn’t explain why this design came about, but I suspect it may have been to save the flight deck space that would have been taken up by a third elevator.)