I haven't had the inclination or luxury to go through 10 pairs of speakers on my path to audio discovery. So, in general, a metal dome tweeter will not be enhanced by electronics that have a forward signature. Listen to a good speaker like a Proac 1SC and a B&W 805 Matrix, same price point, and then decide which is more musical...check out the female voice along with the taunt bass response, the natural decay of the piano, the difference between a soprano sax and a trumpet. And for budget, audition a pair of Reynaud Twins. You can probably pick them up for $600 in great shap on the Gon, and they will blow away the B&Ws of equal price or at three times the price.
And address the front end before you do anything.
And address the front end before you do anything.