I have a BSG QOL Signal Completion processor in my system and I use it most of the time. It is not adjustable and I would not describe it as adding any sort of tube distortion. It affects the phase information in the signal and adds depth and focuses the imaging. I suppose one could describe these effects as tube virtues but I've never heard any piece of tube gear that has such a dramatic impact on the signal. I also have a Yaqin tube buffer which produces a very subtle difference - nothing close to what the QOL provides.
BTW, I've experimented with several signal processors and the QOL is the only one I use. It adds a very nice effect.