Shift current and ballistic have been proposed to explain the bulk photovoltaic effect (BPVE), there experiments designed separate two mechanisms. These are based on assumption that under magnetic field, can a Hall while shift cannot, which is from some energy-scale arguments has never proven. A recent work [D. Hornung R. von Baltz, Phys. Rev. B 103, 195203 (2021)] using quantum transport forma...