Not consciously. However, they each wind up with at least a nickname.
Like, my Carvins are alternately “big Carvin” or “the big one” (for the neck-through-body, 24 fret LB20), or “little Carvin” or “the little one” (for the bolt-on neck, 22 fret B4). Although I often do also refer to them as “LB” or “B4”.
My Ibanezes (Ibanezez?) are generally “300” and “500” (for the SR300 and SR500EPB, respectively). Although for all the trouble I’ve had with it, I’m probably going to stick 500 with a “troublemaker” or “hooligan” nickname or something. LOL.