[quote=Pepperm1nts]
EDIT: And if we're going to talk about real-life, I should point out that Sweden didn't intervene on behalf of Denmark. They stayed out of the conflict.
[/quote]

You are correct that Sweden never got involved in real life. However, the current king of Sweden did give promises (even if ones that he could not fully fulfill) to Denmark that he would support them.

Edit: And Swedish forces were committed to the first war. They just never saw any action.