I commend your decision, although I agree that you should negotiate the mobile betting. As a woman, I can almost assure you that is the issue..especially if you are a consistent winner.
I have had men in my life try to "control" my betting... even men who have no vested interest in my finances. I would not concede giving it up either, unless the real issue was time, in which case the partner is in the right.
If you have to lie about anything, you should probably not be in that relationship.
Congrats to you!