Who makes the barrel? No one knows. The Saint logo is beyond stupid, and I will not buy one because of the name alone.
I haven't heard yet who makes the barrels, but haven't tried to find out either. This is the first "concern" I've heard over the barrel vendor. SAI has a proven record for QC, so I'd bet it's a decent barrel. It hasn't been out long enough for anyone to have a high round count, or at least if they have I ain't read about it. I've read a few blogs where guys have up to 2,000rds out of theirs so far, which is pretty low. You can expect to see a life of 20,000-30,000 rounds out of a Melonite barrel.
There's a chance SAI makes their own barrels for these. They make some of the barrels for their M1A rifles, so it's possible. If not, I'd bet it's sourced from one of the usual suspects that do barrels for numerous AR "manufacturers".
Logo doesn't bother me, one way or the other. Can't remember ever choosing a firearm, or turning it down, on the basis of the company's logo.