In some capacity off topic discussions will always occur. Many will occur in The Lobby, and people will go off on tangents even in general threads in the various game forums. These types of discussions will likely still occur in groups as well.
If you were to ask me personally (i.e. my own opinion, as I'm not a dedicated moderator nor do I take part in any moderating planning discussions, nor do I work with the online team), I actually wouldn't have groups at all (for lengthy reasons I can't really discuss since I really should go to bed soon and this post will be long enough as it is....). I do understand that this position sucks if you've enjoyed the BSN as your one stop shop for hanging out with friends online while not being that far from game news and discussion. It's something you had and it's convenient and its being taken away from you. No one ever says "Yippee!" when that happens.
As mentioned in this thread "good luck moderating all the off topic discussion that goes on in groups." You're probably quite right... and if so I (personal opinion) see groups evaluated if it comes to that. I think that the reason why they exist is that ancillary groups, such as cosplay or multiplayer, or a host of other things still more closely related to the games could still exist. Especially for some of the topics that some may feel less comfortable being open about (i.e. LGBT content discussions and so forth). That said, the issue with moderating off topic discussion doesn't go away if we decide to allow off topic discussion in groups. I had very serious reservations and genuine discomfort with some stuff that went on with the private groups, and like pointed out... good luck moderating that (and I likely only skimmed the surface). And I'm not just referring to the specifics of the type of content that went on, but some of the behaviours and so forth. And yes, I understand that this pretty much means that some subset of the groups and other BSN social features ended up ruining it for everyone which is also a sucky thing to have to deal with if you've been affected.
I do think that BioWare is better served focusing more on something more gaming focused rather than a general all purpose social site with the intense amount of support that that provides. An advantage for me, as someone that does occasionally help out the moderating staff, is that yes, there's been a reduction in the scope of coverage provided by the BioWare forum. Like I said, I think it's perfectly understandable for someone to be upset by that because they've lost a convenience that they once had. It's human to find this sort of thing frustrating.
What I see with the current forum setup is something, for better or worse depending on who you ask, very much in line with what other game forums provide. I'm sure some provide a bit more, and others provide a bit less, but in general as both someone that frequents game forums but more importantly as developer that tries to help out the mod team on a board that I think struggles with being a pleasant place to be from time to time, I consider it a good thing... despite that being an extremely unpopular perspective for some.
As for friendships, I do connect and branch out with my friends in other ways. Some I keep in contact with in a private IRC channel. Many I become social media friends with an interact with as a part of Facebook or Twitter or something similar like that. I take no joy in people being upset and feeling like we're just trying to be frustrating for people. But I would prefer that our focus shifts more towards making the game forum aspect more welcoming to people, and especially fellow developers, and I think that BioWare's work is cut out for them in that regard alone... but I'm optimistic about it.
Not what people want to hear, but it's my perspective on it. Pre-emptive apologies (I'm Canadian...) to Jessica and the online team if this kind of oversteps my mandate and I recognize that me saying "my opinion!!!" over and over doesn't preclude some from still taking this as some sort of official gospel. Feel free to send me strongly worded emails if that's the case! 
Regards,
Allan