Well, of course! I hope you don't think that was faked. OK, yeah, the capes were hanging toward the building, but that was, uh, uh, rogue air currents. Yeah, that's it.
As we can see here, Batman's cape quite properly hangs straight down toward the street. Robin's seems a bit more, ah, ambiguous.
Oddly, none of the photos available show the end of Batman's cape.