Nope, most digital edit are lossy, including basic volume change. However the rounding errors introduced can be too small to be perceived.
Regarding digizoid , it use some psychoacoustics to tricks your ears, I guess like the maxxbass vst:
Okay, I will concede that point. If you do any arithmatic with doubles and other certain data types on a computer, there will be a technical loss.
On a good EQ, you can normally take it off economy mode to make the rounding error arbitrarily low, however (and, hell, economy mode should essentially be arbitrary). That is, in essence, basically as good as a lossless transformation.