Dr. Bonner's was one of the things mentioned by name in the lists I've read of what to bear bag. I stopped using it some time ago, due to the needless strong smell. Now I only use unscented soaps on the trail, mostly--
For what it's worth, when my daughter and I "thru-hiked" the SNP about 4 summers ago, we saw bear each and every day for the whole week. They always ran away from us. Though she had some damage to her unattended gear, I'm sure glad the hiker was not injured!