I played with a TU-2 for years until they developed more accurate tuners like the Peterson and the PB+. As soon as I switched to the PB+, I noticed that (besides being more accurate than the Boss unit)it didn't blunt the signal to my amp the way that the TU-2 did.
For jazz, I want equipment that doesn't add anything to the sound of my guitar.
Rock players on the contrary, do not want the pure sound of their guitars; they want to beef it up anyway they can.
I remember asking this one rock cat what he thought of my guitar. He said, "I don't know- I'll have to run it through a few boxes first.