Is there such a thing called native speaker bias when publishing?
Let me share with you my personal experience and feeling about this issue. I am not a native English speaker and I am aware that my word choices and the patterns of my sentences makes it clear to my audiences and especially my readers. However, I have received several positive compliments in the referee reports of my papers about my writings. Therefore I strongly believe that people who are in charge of deciding about accepting a paper mostly consider the logical and grammatical correctness of the writing of the paper ( and of course its scientific value). So I would be very surprised if I see such a phenomenon as you described.