OTOH, Forrest's tactics on a large scale may well have looked rather like Sherman's strategy. Forrest properly understood it as a war of motion, and probably would have relied on lots of movement and destruction of Sherman's logistics.
The big question is whether Forrest would have been able to make the transition from a guy in the thick of things (cf. his 3 dozen kills), to a guy who thought weeks and months into the future.
That's a tough call, but I have to come down on the "no" side -- he was too involved, and probably wouldn't have tried to micromanage his division commanders.