Well, I hate these very rare occasions when I don't immediately think, "oh, of course, Blue's right as usual", but here's my perspective...
Diana is mythstuff, cool. But she's also a warrior who rarely has to fight any other warriors. She has sneaky mind-controllers, magicians, speedster cat people, whatever you call Angle Man, and here's a freeky Dr. Mengele. Step 1, close with villain; step 2, tap on the chin and villain is out like a light; step 3, clean up bizarre icky mess. Either that or she's got to go up against gods demi-gods, demons, etc. where she really should have Zatanna and Dr. Fate by her side -- but she gets by on her own, ok, cool again. But whether it's a stand-up, knockdown dragout, or Crouching Tiger, Hidden Dragon (your idea has a lot of merit. Of course!), I'd like Diana to think, "Oh, good! If I have to interrupt dinner and pull on my boots, I'm glad it's these people again. Another chance to flex the skills that Phillipus taught me," as she flies in to extend the chance to resolve peacefully. A tiny part of her hopes they'll decline, but that might just be Darkseid's contamination of a little bit of her soul, she easily dismisses it and begins to speak. One regularly-appearing, mega-powerful warrior is all I ask.