And in your second paragraph, you're saying that the critique is not saying, "Hey, this study is flawed," but is saying, "I hate gay people and I don't want them to think that their sham marriage is in anyway equivalent to my real marriage." Briggs makes no secret of the fact that he rejects same-sex marriage, but the vast majority of his post is devoted to flaws in the study, not to his own personal objections to same-sex marraige, and although his ideological views probably are a motivating factor for his scrutiny of the study, that doesn't necessarily invalidate the points he makes.
Has he ever made similar points about studies that support his anti-gay marriage views? or his climate sceptic views? It should be really easy for him to find bad science among climate sceptics - has he ever written about that?
As far as I can tell, Briggs is Catholic, and he does mock Catholic officials -- including the Pope -- occasionally.
In this particular example the linked blog post is not saying "hey, this study is flawed", but is saying "I hate gay people and I don't want them to think that their sham marriage is in anyway equivalent to my real marriage". It's pretty clear that the linked post is only trying to find flaw with this study because they disagree with it; if you presented something with exactly the same flaws but showing A implies NotB they'd be praising it as good quality science that supports their point.
EDIT: a quote from the linked post:
>> Think about what the authors are implying: that the mere presence of gmarriage — government-defined marriage, as opposed to marriage defined by reality — stops teens from reporting suicide attempts.
>> This is among all teens, mind you, and not just the minority reporting same-sex attraction or other non-biologically oriented sexual desires. The authors claim the effect was greater in the sexual minority.
The author is clearly, unambiguously, a bigot looking to smear a study. He's not engaged in honest science.
Here's another example of his "science" writing, where he calls evolution a "theory in crisis": https://stream.org/darwins-finches-evidence-evolution-think/