Steve can relate to that. He certainly didn't choose 'Captain America'. Hell, Tony Stark didn't deliberately choose 'Iron Man' for himself, if what Steve's heard is true. He just ran with it. Gleefully.

"What does the Eradicator look like? I need to relay back to base, let them know what to look out for on the off-chance something does show up?"

He eyes the debris. Given that there are building innards in it, there seems like there may be a chance of asbestos, but probably nothing worse than that. He makes a note of his coordinates, then beckons Superman as he starts to walk back toward his vehicle. The shield on his back is fairly distinctive. It looks a little like a target, except for the star in the middle.