Having done a bit of digging, I don't think it is a classic style. In the 20s-30s, there appears to have been a fad for 'fishmouth' or 'Parisian' lapels on coats whether SB or DB, but these are not the same as standard notch lapels. And they still don't look as 'right' as a peak lapel on a DB.
This is just musing but I think that the peak lapel looks "right" on a double breasted jacket because it follows the shape of the buttons. The way the top buttons create an angle is similar to the points on a peak lapel.