Considering the Sparrow has a longer range than the Sidewinder, I feel the latter would be the better choice in this instance. Initially, I would have suggested the AIM9-D as a proven platform however, considering the camouflage employed on the intended target, I feel the AIM9-L would be the better choice, especially as it has the enhanced background discrimination capability.
The AIM7-M, with its dual stage motor & longer range is just plain overkill if you ask me. I will, however, concede that the AIM7-P is an intriguing choice with its inverse monopulse seeker & improved low altitude performance, ideal for this type of target.
Having said that...if you were comparing the word Sparrow as both a missile and a bird, then I see your point.
That's a rubbish caption!