Both my Line6 M9 and my Peterson Strobostomp seem to still have an effect on the tone when bypassed. I double checked and made sure they are both set to True Bypass - the Peterson has dip switches that set it between true bypass and DI mode, and the M9 has a menu item that selects between DSP bypass and true bypass.
The M9 must use relays, because the switches are not 3PDT, and I can hear the relay click when I switch it from DSP bypass to true. The Peterson uses a 3PDT.
It's not a huge huge difference, but I can hear loss of high frequency when going through the bypassed unit versus going straight in. I'm tried it with both Monster Rock and Spectraflex cables to see if the cables made a difference.
My Dime wah also has a similar effect - however, it is NOT true bypass, so I would expect that. What's weird is that the Dime wah doesn't have any worse effect than the other pedals that are supposed to be TB.
I guess I'll look into a loop switcher with a tuner out so that I can keep them out of the path when not in use.
RA