Yeah ^ that mesh doesn't have anything to do with the construction of the crown and that pointiness you're talking about (I can't stand hats with that look too, so I hear your gripes)
You can cut it out, but it ain't gonna fix your unicorn issues, and you also won't be able to flip it down and use it as a see-thru disguise when you rob a 7-11 to get more money for a new, better constructed, hat.