There's another piece to the OP's question that isn't getting addressed, and it's the most important part to me.
I have a LOT of guitars. I didn't get a single one because it had 'my tone'. I want a guitar to have it's OWN tone -it's own voice. As a musician, my connection with the instrument is important because the music I play comes through that connection, and the strength of that connection rests on how well I understand what the instrument brings to the dance; what it likes to do, what it doesn't like to do, and the intricacies of all that. I don't want a guitar that 'sounds like me'; I don't even know what that is (or care). I want a guitar that has it's own voice that I can dance with. I should add that my days of playing in cover bands are long gone, so since I'm really only doing original music at this point, I have the luxury of not needing to get a particular sound to match a particular song, I can do whatever I want.
I was a sax player before picking up guitar, and that may have colored my approach. The part of a sax that makes the sound is inside your mouth. It's a very intimate connection. There are all kinds of subtle things you can do with your breath, tongue, cheeks, etc. that effect the sound, and all of these become elements of expression. What makes a good sax player has MUCH more to do with what's going on inside their mouth than what they're doing with their fingers, which are really just pushing buttons. So the place where a musician's body physically touches the sound generation is where the expressiveness, the emotional intimacy, gets translated through the instrument into music. So for guitar players our fingers (and picks) are really also like a horn player's mouth.
So, at home I really make an effort for the first few minutes of playing a different guitar to really listen to it. Each guitar sounds a different from the others, but more importantly also responds differently. How does it like to be played? Where are the sweet spots? How do I get it to bark? What sort of right hand techniques works best with this instrument? Some guitars like to be hit hard, and some hate it. Some are more flexible. Some are more rigid. I know many players do what they do and search for guitars that fit them. That totally makes sense, but for whatever reason, I'm more interested in seeing what a particular instrument brings to the table, and then maximizing that to make something new.
I switch around guitars a lot; I have a small number that I gig with; because I know them the best. But at band practices I often bring a different guitar each time, because the way it sounds and responds when I play at home will be totally different at volume with a band, and practices are my chance to dance with this partner and see if the combination is a winner. The music I play is a partnership between me and the instrument, and the better I know each guitar, the better music I can make with it.
That's where my signature comes from. As a musician, the music that I make is FAR more important to me than the instrument itself, which is only important to me to the extent that I have a powerful connection with it while I'm playing it. I've ended up with a pile of guitars and so I guess I'm a 'collector' in that sense, but I don't feel like a collector. I feel like someone fortunate enough to have a large group of musical collaborators, and the way I dance with one is different than the way I dance with another. What I like is the dance.