I believe that two of the intial reasons for adding the #132 was to increase the viscocity of the lower range 30 weights like Mobil 1 and to add some moly to the oil So, guess it depends on whether the Chevron would need it, the Schaeffers definitely would not.
I use it with my Amsoil, which is already a high 30W and it does seem to increase it to a low 40W but in the engines I use it this seems to be fine. I use the Brew, 6 ounces of #132 with 2 ounces of lube control and so far, not scientific, but it has produced better wear numbers then the straight Amsoil in the past. Amsoil has no moly!