I got an email back from the stylist. I thought you guys might be interested in this part of her comments.
"The stabilizing (conditioning) step that I use after the relaxer has a PH level of approximately 1.5 -2.0 which is what is needed after a relaxer that has anywhere from 10.00-13.00."
So, apparently the conditioner does neutralize. Even though she said that she was having a difficult time removing the relaxer from my hair, and commented that my hair was "holding on" to the relaxer during my shampoo, she had no explanation for that. She did have a "theory" that basically my hair was unhealthy. She offered me half my money back, and I will be taking it to try another stylist for my next relaxer in a month or so.