I'm convinced the Dresden raid was a statement to Stalin, who Churchill despised and held in total contempt. Come westward, you violent peasant, you'll get all of this. Churchill had no faith in FDR at the point, and he was right in his suspicion.
After the Luftwaffe killed women and children in Coventry and London, after the reports of the genocides in Warsaw and the Ukraine, I don't think Churchill was too concerned about a bombing at the German solar plexis. The firestorm fashioned a horrific vision, we fear burns in a primal way, but Churchill saw toddlers being removed from Coventry rubble and they were just as dead from blunt force trauma as a Saxony artiste who immolated. People buried in rubble die of asphixiation, and most of the victims at Dresden died of asphixiation.
There were reports of 36,000 to 130,000 dead there. 5.6 million Jews were murdered in systematic assembly line death by the German people. War is hell.
Stalin got the message, and while he was rolling FDR he taunted the brilliant old sod with glares. Yalta was a disgrace. Truman, Ike or some Senior Senator should have stepped in to protect American interests. Churchill saw a guy worse than Hitler walk away with the blue ribbon.