The 'confusion' has entirely been bad marketing. And that's kind of the heart of the problem we've had over the years. While Stack Overflow was the original and biggest site - the distinction between that and Stack Exchange is important to many communities.
I'd stated this before, and I'd state it again - this erases the identities of the other hundred over communities that don't have a distinct name. It also confuses things cause for its entire lifetime, Stack Overflow has been developer centric. These changes mean smaller sites are erased, it increases, not decreases confusion - and it feels premature to remove branding without a clear idea of where we're going.
I'd also note that the response to the original question was overwhelmingly negative - as such could you clarify how exactly our input was taken into consideration?