In this case I dont think it's accurate to objectively claim it's better (as opposed to simply preferring it). Shire's music is too good to dismiss so easily, especially compared to Barry's droning score.
Shire's music is great, without doubt, but Barry wrote a score that fits the film better. It might not be the best listening experience outside of the film (or it might not be as enjoyable as Shire's score is outside of the film), but within the story itself, Barry's music sets the nightmarish tone of the drama much better than Shire does. I hope someone will upload parts of the film with both scores to better illustrate this.