The Deltawing is a crazy, retro-looking, bulky, phallic monster but it would attract more attention to the series than anything else that's happened in the past decade. I say put it on the track in some capacity.
To me, the Swift 32 and 33 look somewhat pointlessly Batmobile-ish too, but in a more cowardly, less adventurous way. If you want to go that direction, go the full distance, I say. The popular Swift 23 is the least radical, most familiar of the lot, and I guess that might be why folks like it? The first Dallara pictured looked like a toy version of a current F1 car, little shark fin and all, while the others veered off into timid Batmobile territory again.
If it were up to me, I'd allow for some teams to purchase Deltawings so that there are a few in the field for the next Indy 500.
So long as they pass safety checks, are drivable and manage to qualify, having those insane cars there would get the race noticed and shots of those things circling the track would probably even make the conventional news, as well as popping up all over the internet. If the Deltawing teams fail, write it off as no big loss. If they succeed, or even win (!

), well then, there's something to build on as the future of IRL. Sorry, but it's so bad now that drastic measures are needed to save American OW.