Correct, there is no universal solution. String type, string height, personal technique, amplifier, yadda yadda yadda - all contribute to the end result. Also, the way the FC is installed (and where it is in the rotation of the threads) changes the sound. I'm sure you already know all of this - but just wanted to put it out there. The FC may not be the right answer for you, but without question, it has much more flexibility and potential to get you to what you wish to hear than the stock pickup. Your wondering out loud about a more robust/flexible EQ unit is spot on. More precise tailoring of unwanted frequencies keep the desirable part of the spectrum intact. The process can take a while, but once you get to that place where it all works together - right strings & setup, you'll be glad you took the time. If that journey leads you to another pickup, I for one would certainly appreciate reading about it. Good luck!