The first paragraph does not, in this case, override the bullet points.
Now, moving away from what the rules say for a moment...
In my opinion, that first paragraph is the effective cause for a given character being able to now do what the feats allows for in the bullet points. Which is to say, because a given character- through training, practical experience, magic, etc- has managed to master ranged weapons to the point that they can make shots other find impossible, they gained the ability to:
-Strike targets at any range they can effectively hit without the difficulties normal people would have due to distance.
-Strike targets at any range they can effectively hit without the difficulties normal people would have due to protective obstructions.
-Using weapons designed specifically to be used at ranged, strike targets at any range they can effectively hit to much greater effect than others, albeit at a significant decrease in accuracy.