I would not call it a drawback. In regular regression you make an assumption that x is known exactly, and all errors are in y. In Deming regression you make ano

I would not call it a drawback. In regular regression you make an assumption that x is known exactly, and all errors are in y. In Deming regression you make another assumption, about the ratio of their variances (δ). If you change units, you need to change δ as well, and then there's no difference.