C) your statistics have been thoroughly pulled apart and shown not to represent your conclusion."
They haven't, but if you think they have, you can always contact the scientists involved - I'm sure they'll welcome your input.
No need to contact the authors of the AJPH study you linked to earlier - the lengthy "Limitations" section in the Discussion shows that they are quite aware of the problematic aspects of the study.
For example, the authors make the following points (cited directly from the paper):
"Although noteworthy, our findings involve limitations that should be considered. For example, our data were cross sectional; thus, temporality cannot be determined."
In other words, the authors acknowledge that they couldn't tell which came first, conversion therapy or suicide attempts.
"Our study is also limited by the language of the [survey] item used to measure SOGICE [sexual orientation or gender identity conversion efforts]. Many young people may have undergone experiences that would be considered SOGICE but would not endorse the words “conversion or reparative therapy...Using questions that more comprehensively explain and address SOGICE will likely expand the rate at which young people report such experiences.”
So the authors and the survey participants also had trouble defining exactly what constituted conversion therapy.
"There is also a need to separately examine the associations of sexual orientation change efforts and gender identity change efforts with suicidality among young LGBTQ individuals...[a]lthough our question did not allow us to examine these differences"
"future studies should attempt to refine how SOGICE is measured, including how experiences differ between sexual orientation change attempts and gender identity change attempts, how age at exposure relates to outcomes, and how experiences differ according to the type of individual (e.g., licensed therapist or religious leader) conducting the efforts."
"Finally, our data did not allow us to attend to the impact of parental acceptance on the relationship between conversion therapy and suicidality...although parental acceptance was significantly associated with reduced suicidality"
Accepting parents are presumably less likely to try conversion therapy, so it's possible that lack of parental acceptance, rather than conversion therapy per se, may be driving higher suicide attempt rates.