I find it's those pedals that make different guitars sound more the same, but we do tend to hear guitar "sound" more as playing style. Funny how many times fairly clean classic Rock is duplicated with much more dirt than the sound being copied. Duane and Dickey sounds, Angus sounds, almost always these old time sounds are attempted by adding lots of gritty pedal distortion. Pedal dirt is the fastest route to all sounding the same I know of. We can do that with the amp too though, by dialing up the gain with the cleaner guitar. For me it's not the tone of a guitar as much as it's the clarity, and in particular the bass clarity. What a Tele can do that a LP cannot do as well is get bass clarity with dirt. Makes sense to grab the clearer guitar when using a muddy bottom amp in the studio. Otherwise you can get pretty much the same sounds with either guitar, or get different sounds if you choose. Joe Bonamassa does a demo of a LP into a Deluxe where he gets some convincing Tele like tones.