Obviously the pole pieces are individually adjustable for a reason. Which isn’t to say that is a fix in this case, but I’d look at very minor tweaks with that variable before I go pulling pickups out, etc.
The other cheap place to tweak the recipe is strings. Not just new strings of your choice, but depending on what you are used to using, a different type of string might also help, if you love all other aspects of the guitar.
It always interests me how many people are brand-loyal and even specific set-loyal to strings. I get it that if we find something we like, we want more of “that”. But at the same time, If you like pure nickels on your solidbodies, you might try a nickel wrap on the semihollow to make up for that missing extra crispier zing on the lower end. Assuming one brand/set of strings is the be all end all for every guitar is short changing yourself from some fairly cheap versions of a single instrument.
But as Les says, I would 100% suspect there is at least some portion of this being the nature of the design.
I look for piano like from stoptail solidbodies with more hifi pickups. The solid rosewood neck guitars excel at that in my experience. To some degree, the more vintage sounding pickuo options can work too if they are lower wind.
But if you are looking for strong note fundamental for that authoritative sound and bloom, you may not find it.
When you add in an trem with springs, and you get more sympathetic ringing n a resonant guitar to smudge the note. Add in a large open cavity and you get a different variation on that smudging of the note. Put them together and that’s it’s own character.
So I’d look at strings, and I’d look at the PU setup specifically. If you raise the poles and it gets boomier or brasher but still mush/mud, after those have been changed, you may find it’s not the right model for you after all.
We’ve all been there to one degree or another, and nothing replaces personal
Experience. But I’m not sure I’d start yanking pickups and rewiring and all that, if the strings and PU adjustments aren’t at least making things more promising.