Joe Foss (USMC, 26 kills), said the Brewster was an adequate fighter, and that they would have scored just as many kills in it during the Solomons/Guadalcanal campaign as the F4F Wildcat had they used it, which had similar performance. Its not remembered with the more famous Allied fighters because of its more limited use. If you really look close at an F2A-3 (the version the USMC used), its not any worse than say a Hurricane IA, or a P-40B, or an F4F Wildcat.
It gets its bad rep amongst the US services for its rather tough stand against a huge IJN air strike over Midway in June 1942, where 15 Brewsters and 7 Wildcats fought a large defensive engagement against 108 IJN fighters and attack planes. The Japanese, were impressed by the defense they put up, according to their accounts, but the defenders did suffer more than 1/2 attrition. The rest is a lot of post war "remembering the P-51 and Corsair" and fogetting anything that wasn't super glamourous.
In the hands of the RAF, and RAAF and the Dutch, it was used at a time in the war when they were retreating, spares and proper supplies were lacking, as was training, and despite that it had a respectable kill-loss ratio, but again, it was not going to be remembered with the Spitfire, Typhoon, Mosquito, ect, that gave them victory in WW2.
In other words, the reality is more interesting than the myths.