I only play the White side via 1.d4 b6 2.e4. It is dubious at best, and saying Owen's Defense is like the modern is like saying The English Opening with 2.g3 is just like the Bird-Larsen Attack (1.f4/2.b3).
Openings that are left/right mirrors of each other are not at all the same because of the difference od the King and Queen.
Playing b6 and e6 has no real similarity to g6 and d6.
I would never suggest to anybody to go outside of the Big 4 against 1.e4 (1...e5, Sicilian, French, Caro-Kann). I personally will play 1...e5 or 1...e6 against 1.e4, but I wouldn't fault anybody that plays 1...c5 or 1...c6.
Just curious to see if anyone else plays Owen's Defense to E4. I find it's like the Pirc and Modern Defenses and I usually have good game results with it.