Man, those plots always feel so wildly out of character it snaps my suspension of disbelief right in half. Dumbledore, as written, is a master of subtle manipulation, not a mustache-twirling patriarch arranging marriages. The whole premise hinges on him abandoning every established trait for blunt coercion, which I can only stomach if the fic is upfront about being a dark!manipulative!Dumbles tropefest. The more interesting versions I've seen aren't about forcing a wedding, but about him orchestrating endless 'happy accidents' to push them together—constant proximity, shared missions, planting the idea in their heads that they'd be a 'powerful symbol' for the Light. It's still gross, but at least it's a shade closer to his canonical methods of nudging chess pieces.
That said, the appeal for writers is obvious: it creates instant, high-stakes conflict and a clear 'adults vs. us' dynamic for Harry and Ginny (or Harry and whoever he actually wants to be with). It’s a shortcut to making Dumbledore the antagonist without involving Death Eaters. Personally, I click away unless the writing is exceptionally sharp, because it often reduces Ginny to a prize or a pawn, and that's a disservice to her character more than anyone else's.