I’m not sure if I did your experiment wrong “זיי נישט קיין נאר” yielded 214 results while “זיי נישט קיין נער” yielded 154 results. that makes the former 40 % more common. Im not sure I would term that a ” similar number” let alone a “very similar number of results,”
Again though, even if they were equally used, DY’s spelling is still correct.