Utter crap!
...b6 lines that allow e4 are only decent when White has committed to c4, like in the English Defense.
1.e4 b6 - Garbage! After 2.d4 Bb7 3.Bd3, White is better as long as he avoids c2-c4. Depending on Black's response, Nc3 or c2-c3 is better than c2-c4.
1 d4 b6 - Garbage! 2.e4! then see above
1.d4 e6 2.c4 b6 - This is ok, but it is no longer Owen's Defense. This is the English Defense. White can play e4 here, but with c4 also played, d4 is weakened.
1.c4 b6 - This again is fine, and another version of the English Defense. I would not play it these days, but not going to argue that it is unsound like Owen's is. Just not my cup of tea!
1.Nf3 b6 - Slightly dubious, but not quite as bad as White does not have time to get in both e4 and d4 immediately, he has to work in moves like Nc3, which committing too early can also be a problem.
So in summary:
1.e4 b6 - Bad
1.d4 b6 - Bad
1.d4 e6 2.c4 b6 - Sound, but you must be willing to play the French if 2.e4.
1.c4 b6 - Sound
1.Nf3 b6 - Somewhere between Dubious and Unclear.
Hope this helps.
I’ve recently been learning the Owen’s Defence as my main response to 1. e4 and I am curious as to what the general chess community thinks of this opening. I couldn’t find anything on it already so what a wonderful first forum topic for me than to probably start a large debate over 1. … b6. Let me know what you think!