Sure, but the point is that being a member of the BSA doesn't imply support of SOPA. Maybe it did yesterday, but it especially didn't a few weeks ago, before this whole thing received so much attention.
The simplest explanation is that the members who were indifferent before, have changed their position in light of the recent "noise". But you can't work backwards and say that those members were originally in support of the bill.
I disagree. I think the point is that being a member of the BSA does imply support of SOPA. Which is the very reason its members were forced to make the BSA change its position.
It was a grassroots campaign of unaligned users of the internet. People from vastly different professions and backgrounds enacting change through varying means; twitter, direct mail, facebook, google+, blogs, articles, comments etc.
There is no system. That's what makes the internet awesome.