I agree with AN on this one. Sharing on SI, with IC/MC, or with a pastor is fine. When it comes to sharing with family and friends IRL, that's a bit tougher, especially if the level of detail gets into the intimate. Just not something I would be comfortable with.
To that end, I think you do have a right to find some compromise on this. Especially if you are doing the work and your BH is willing to R with you. Given that and the amount of work you will hopefully be doing, having the anxiety of wondering what your BH told your friends or family would make it very tough to even walk out the door.
When it comes to R, I believe you have to be a team. That means compromise. Usually the compromise is going to be mostly on the WS, but that isn't really compromise, just kind of coming back into a normal, trusting relationship. But the BS needs to compromise once R is agreed upon and as long as you're doing the work. If that means limiting the number of people he talks to or the level of detail he discusses, then that seems reasonable IMO.
My BW and I didn't share too much with anyone other that IC/MC. I only had an EA though, so there weren't many graphic details to worry about. It just so happens that we don't have a large or intimate friend base, so it wasn't like there was a big group of people for us to discuss these things. And when we did talk to some of our family, I think we kept it pretty minimal as far as details. Sort of like "baxter did this and we are working on our M now"
Anyway, hopefully you will be able to open up here on SI. You are as anonymous as you choose to be.