No it is not it will allow excess debris into the engine and shorten it's service life. The engineers that design the air box and filtration systems are highly intelligent and it really shouldn't be messed with. Nor will messing with it yield any benefits at all.
[censored]. If you use a quality dry filter like an Injen, Amsoil, or Afe, it will filter as good or better than the factory setup. And if the intake is designed properly to isolate the filter from underhood heat, it can yield a seat of the pants performance improvement.
The best setup for GM 3800s is the Thrasher cold air intakes, but they come with K&N filters. I'd upgrade the filter to an Injen/Amsoil dry filter with built in velocity stack.