It seems AES uses fixed shiftrows as follows:
B0 B4 B8 B12 No shift
B1 B5 B9 B13 Right-shift 3 places
B2 B6 B10 B14 Right-shift 2 places
B3 B7 B11 B15 Right-shift 1 place
Would it make a difference to security if the rows were shifted differently? Not to disturb the carefully selected shifts (0, 1, 2 and 3 shifts), but just the order of them: For example:
Right-shift 3 places
No shift
Right-shift 1 place
Right-shift 2 places