I think I read it correctly - you talk about the background being 1.5 to 2 stops brighter than the main light, which is a 3:1 to 4:1 ratio :shrug:
Which is just too high. It bleaches the edges of fine detail, creates flare, and reduces contrast, for no gain.
Once the background is blown, it is blown. What is the benefit of blitzing it in this way? Sure, white paper etc backgrounds are never absolutely pure white so you need to set a little over exposure, but if the background lighting is even (you're suggesting to within 1/10th of stop which is incredibly good) then half a stop over is ample. Make it one whole stop if you absolutely need some margin for error (maybe it's not within 1/10th of a stop after all) but anything more than that and you are throwing away a lot of quality.
If you do comparison shots with the background at half a stop and then at two stops over, the difference is very noticeable. Another thing that also lifts the image significantly is to mask all white background immediately outside the image area with black paper. This kills every unnecessary source of flare, much more effectively than a lens hood, and usually promotes a slightly darker keyline around the subject which lifts it still further (although this may or may not be desirable - not so desirable if you want to fully mimic the Venture look

).
Having said all that, if it works for you as you describe, then that's what matters. But I don't think it is a good idea to promote that practise without any justification. I have said why half a stop over is better than 1.5 to 2 stops, but you have not explained why you think that's wrong.