Barely. The P-40s of the AVG were only armed with 2x.50cals and 4x.30cals. Hardly overwhelming firepower.
If you won't believe me, maybe you will believe Saburo Sakai. "The Lightning's great speed, its sensational high altitude performace, and especially its ability to dive and climb much faster that the Zero presented insuperable problems for our fliers. The P-38 pilots, flying at great height, chose when and where they wanted to fight with disastrous results for our own men." I know he was talking about P-38 v Zero but Corsair v Shiden would have presented exactly the same situation.
And to borrow from your logic, I guess the Mosquito must have been a death trap when fighting a 190 since the 190 easily beats the Mossie in a turning fight.