That's the very definition of a signature sound, mate
I completely disagree with this statement, along with all the “I SOUND like me no matter what rig I play” or the old “Eddie Van Halen played through Ted Nugents rig and he still SOUNDED just like Eddie” nonsense. In fact, I’ve probably said this here 10 times before in “this” thread, but here it is again.
WHY is it so hard for people to understand the difference between the tone of the gear being played, and the style, and phrasing and all of that, of the the player that is playing the gear? How is it that people who have played for years, even professionals, can’t seem to differentiate this?
“Sounds like” has more than one meaning in this context! The player being recognizable as himself is ONLY because of his playing style/phrasing/picking etc. While the Rig sounds like the rig, no matter who is playing it. I could play Van Halen’s rig and the TONE of the rig would be almost dead on Van Halen tone (of whatever era the rig was from, which again proves my point) and could sound like that VH tone even if I was playing Ted Nugent or Megadeth songs. Meanwhile, Eddie would immediately be recognizable playing someone elses rig EVEN THOUGH it would sound nothing like Eddie did on the album with HIS rig. BECAUSE IT’S HIS PLAYING that is recognizable, IN SPITE OF the rig sounding different.
I really don’t get how people blend those two together all the time and say “I sound like me no matter what rig I play.” You PLAY like you no matter what rig you play through, but it most definitely does not sound the same with every rig. But the playing is recognizable as you. So… “yes, it sounds like you” and “no that is not a signature tone, it’s a signature style!”
So, after all that, “you sounding like you no matter the rig” is NOT having a signature tone. If you have one amp/speaker cab, a few of the same pedals, and mostly guitars of one style/similar pickups etc. because that is what years of playing led you to want as your sound, then you probably DO have a signature tone.
And finally to answer the thread question, no, I do not have one. Because I play too many different things and adjust my tones accordingly. However, if I was doing MY music in a hard rock band, I definitely would have a signature tone that revolved around the Archon and a few choice pedals and guitars. That would be “my” sound. But even with the Archon, I do lots of stuff with it depending on what I’m playing so it never sounds the same for long.