I agree that your suggestion is a good approach when looking for the lowest cost provider. I too can find the lowest prices among the competition, this doesn't mean that the lower price is the best option. Do I use Progressive or the Inshur ur Ride place located in the hut in front of the local Pic-N-Save? Using your example, which btw I have never come across a gap in price that large when comparing two of the same policies, I would agree that changing providers would be a wise decision.
I would still like to know who "we" is.
I do not believe anyone has structured an argument yet that can discredit this company or the one you work for. If you want to base your argument on price please do, but at a minimum make it a solid one. As far as me opening my eyes, in my opinion and 32 years of life, I do believe I have them wide open. More so than most.