Is aspirin a good thing to take when one has the flu or is thinning the blood counter-productive?

Reducing fevers. . . aren't fevers (higher than normal body temps) a defense mechanism to kill virus'? To a certain point high temps are a good thing. Too high and there are other issues (death), but shouldn't a typical fever associated with the flu be accepted as part of dealing with illness. Reducing temps to that 98.6 figure might not be the best thing when fighting a virus.

Am I mistaken in these thoughts? I never take aspirin or any other meds. Good water, good food and a few vitamins & minerals.