Except it kind of does given that one of the main plot points of MiaB is Voyager establishing contact with the Federation for the first time since the show began.
Exactly. With Voyager contacting the Alpha Quadrant they had the chance to do something really spectacular. Since DS9 was in the middle of season 6 at the time MIAB aired, they had the chance to tie some of the VOY cast into a Dominion War story. The possibilities for what they could have done were endless. But instead of doing a DS9/VOY Dominion War episode they just decided to settle for a comedy. Not a bad comedy by any means, but still just a comedy.