Could people enjoy the benefits of the nation's productivity? Not entirely. Some deprivations were enforced artificially. For example, the idiotic requirement to keep the yellow dye out of margarine, and not allowing bread to be sold pre-sliced as the slicing machines at bakeries lay idle by order of law.
Socially, and individually, you are probably correct, as the benefits of the infrastructure conversion began to be felt in the early fifties. Many workers were working to overcome the losses of the depression, buying, establishing businesses, going to school on the GI bill. The economy was booming, but conversion to peacetime footing took time. Figuring out HOW to use the capacity creativity. Six million workers (the returning soldiers) had to be absorbed into the work force. By 1955, I think everything was booming. So we are in agreement.
What happened is after the war taxes were lowered (still way too high) and regulations were relaxed. Whenever that occurs growth happens.