The latest Film Developing Cookbook indicates that anything but the very freshest stop bath doesn't stop development much more quickly than water does. The purpose is more to conserve the efficacy of the fixer.
I generally just use distilled water, as a little bit of compensatory development is just fine, and when I'm developing with staining, acid stop bath is prohibited anyway.
There is absolutely nothing wrong with using an acid stop bath when using staining developers...including the use of acid fixers. koraks and I both tested the theory independently, and there was no affect on image forming stain. I use several staining developers, as well. All good. I regularly use acid stop and Ilford's Rapid Fix.
