You could be on the right track with this reasoning, but I warn you, this kind of dissatisfaction is what led me to break down and design my own speakers around active crossovers, because I knew I could never really find what I wanted in existing speakers. But, honestly I can tell you from experience that this would be Beast project for most people to undertake, and that finally winding up on top of all that could take you years...it's daunting to me even now that I've done it, so if you find yourself contemplating such a thought, I think you should try to eliminate every other possibility first.
I might start with placement.
I might start with placement.