The documentation you're showing is a very old package.
Yes, it looks like older documentation, but that's all I found when I searched for UnwrapPhase for Bode Plot...
I'll also look at PhaseRange (I tried now quickly by putting PhaseRange -> {-Pi, Pi} (but also other combinations), but it didn't work for me so far...I didn't manage to find the right combination until now.
If anyone has found a solution then it is welcome.