Wars are not -only- fought at 3pm on the second tuesday of every month. They're ongoing and happen contantly.
I think this slot might be rather better used if we had a kind of cycling series of situations and scenarios. Also, sorting out a more varied fleet for each side might be fun. depending on the scale of the scenario planned.
Having a specific plot, for each and every event we do seems a little bit stupid to me though, as not every engagement in a war has any more reasoning behind it other than just killing the opposing force.