You have a wife though, something most of the negative nancys here will never achieve. Congrats mate.
In the beta you only required ps+/xbl for strikes and pvp, patrol and story missions were available without subscription. Not sure if that relates to Internet access but I hope it works out for you.
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Lol having a wife is not an achievement. Neither is having kids. For the first it just takes two idiots to sign a piece of paper. For the other you just have to ejaculate into a female. Myth of the family DEBUNKED.
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The game does need Internet access. My Internet went down for a little bit during the beta, and I wasn't able to access the game until it was back up.