When the authors offer many cautions about their own study and point out the shortcomings, it is good science and up to community standards.
And, as they importantly point out with an illustrative story about ice cream, association does NOT mean causality; however, it can point one in the direction of truth (although not always).
At any rate, there is a large body of data which points to BPA as a bad actor and you might read a bit more about it. For example, here, here and here.
Thanks Pharm I should have indicated you are preaching to the choir on BPA. I get it. I just objected (lightly) to the min-hype of another org claiming objectivity in a sea of subjectivity. Science no longer matters of course. If it did, we would not be having this conversation right?