Point of clarification: I believe that the page title (and all references to it) needs to be revised to "A-Team Firing"; the hyphen is part of the trope-naming TV show title (http://www.imdb.com/title/tt0084967/), and without the hyphen, the title "A Team Firing" means "a firing by some team" rather than "firing in the style of the A-Team".

In grammatical terms: with the hyphen, the whole "A-Team" acts as an adjective describing the type of firing; without it, "a" and "team" act as separate adjectives, neither with the meaning intended for this trope.

Is there a parallel trope for "A-Team Car Wrecks"? The A-Team always managed to cause their opponents to crash their vehicles, after which the occupants emerged unharmed.