Re: Invader vs Dimebucker
Welcome to the forum!
It really depends on what you want. If you like the Invader, but want a little bit more treble cut, installing a 1meg pot or bypassing the tone control will both brighten it up (as Sabotage and Hellion both pointed out), because the tone control bleeds some treble, and the higher resistance of the pot, the more treble it lets through.
If you're looking for a different character pickup with still good full chunky bass for palm mutes, you can't go wrong with the Distortion. It's really a great pickup, and will do "chugga-chugga."
From what I've heard the Dimebucker is also a great pickup, but I can't help you with that, since I've never used it.