Thanks guys! That tells me everything I was wanting to know... I've now removed the filter, and now I realize just how much "blowback" there was... Before when I put my hand near the fan, it used to feel like it was blowing air OUT, not sucking in. At the time I figured it was the air coming from outside that I was feeling, but now I realize it was the air "bouncing back" off the filter.
I would defnitely try the fan grille, except I'm using an Enlight 7237 case where the intake fan doesn't screw into the chassis and is held in place by a plastic housing that kind of clamps onto the front.... And the way that housing is designed, there is no room to fit a grille or anything in front of the case fan, which is why I had to put it "behind" the fan originally. Place anything in front such as a grille, and it will no longer be possible to clamp it to the case.
Used to be, I could have just put the filter over the metal "cage" that was originally part of the case. But now that I've cut off that cage I don't have that option. I might need to end up drilling holes to mount the intake fan, or I might just go filterless for a while...
Anyway, thanks again for the advice! I think it has definitely made an improvement.