Sorry I don't have experience with BH phono products, but there are some of the MF products that I have used in the past. MF has some good ideas that sound great, but they seem to stop on the threshold of being a much better product. Also, when I tried my hand at modding them, I felt that I was pretty much on my own as far as advice. I know that you are asking about comparison of sound, so I will let someone else chime in for the answer to the original question.
What I am driving at with my view is that if you want to upgrade/mod a BH product, your chances of success compared to trial and eeror (he heh I'll leave that one alone), are in a completely different ballpark. You will find a sense of ease here morphing a component to your liking. Again, I realize that your question has yet to be answered.