I think that would depend on how the tone of the story went with regard to drafting them. If it came off as if they did not believe in the effort, or made it seem less important, that could have made it distasteful. But it could easily have been portrayed as a sacrifice that disrupted their lives but a worthy one, like many films set at wartime. Then it could have also taken a Raiders of the Lost Ark type of tone, also if they wanted it to. Still respectful but telling and story ancillary to the war.
By the way, if you have never seen the Disney war cartoons, especially the one about saving bacon grease, you really should. I recommend them to everyone. It really puts into perspective the effort that Disney and regular people put into supporting the war effort at the time. Disney made them all in color, also; which was very expensive. He was paid by the government, but not a crazy amount. They put them all out in the "On the Front Lines" Walt Disney Treasures set. Real gems.