I'm not saying that these males are lying about experiencing pain around the abdominal area. That may well be true. But it can't be the uterine muscle cramps that women with premenstrual syndrome endure, because that, and every other condition of the uterus, does not happen to males, by definition. This is an appropriation of a female-only experience.
They're not "hormonally female" either. The hormonal profile of a male taking high doses of a single exogenous hormone is nothing close to the same as that of the natural female experience: a cycle of multiple hormones, mediated by the female reproductive system.
I am not claiming that trans women are experiencing specifically uterine cramps, nor is anyone in the article claiming this. You are not addressing any relevant point by stating that they are not. It is possible that in some cases menstrual cramps may involve some muscles outside of the uterus.
Trans women typically take multiple hormones, not just one. If their hormonal profile is close enough to "female" that they develop female secondary sex characteristics, as it is for trans women on HRT, then it is not implausible that they may experience certain hormonally-driven symptoms that are usually experienced by cis women, including the symptoms of PMS not directly involving the uterus.
The menstrual in premenstrual syndrome is a reference to menstruation, an essential characteristic of the uterus. Males don't have a uterus, they don't get uterine contractions, they don't menstruate, so they can't have any sort of premenstrual condition.
Whatever side effects transwomen are getting from their hormone medication is a male experience, not a female one. Just as women can't know what it feels like to be a male dosing estrogen, transwomen don't have insight into the natural female experience of the menstrual cycle. It makes no sense for them to misappropriate the terminology of female reproductive health.
Your first paragraph is an argument from etymology. Whether a particular experience is inherently "male" or "female" is immaterial. Both points can be ignored.
Trans women can learn what the symptoms of PMS are by reading or hearing about it from medical resources or personal accounts of cis women. They have done so, and have found that the symptoms described resemble something which they also experience. As a result, they believe that their experience and PMS are the same thing; in other words, that they experience PMS. This is a testable hypothesis, and its confirmation or refutation would likely create useful medical information. This is science.
What is not science is learning of this hypothesis, assuming the people proposing it and those claiming to have these symptoms are lying, and calling their physical pain "a pantomime", "insulting", and "a mockery", and implying they are faking it for attention, as the article has done. That is bigotry.
No, it's an argument from what premenstrual syndrome actually means.
If these transwomen claiming to have premenstrual syndrome had looked at any medical resource, or even just the Wikipedia article, they'd have read that it precedes menstruation, that it involves contraction of the uterine muscles, that it isn't experienced during pregnancy or after menopause, and would have realized that, being male, absolutely none of this applies to them.
Plenty of people have told them all of this since that video was released, and instead of being grateful for the correction, they have instead doubled down. So it's not even a case of being ignorantly mistaken, this is an intentional appropriation and trivialization of a uniquely female experience.
If they looked at medical resources, they would have discovered that PMS involves many symptoms unrelated to the uterus, such as mood swings, headaches, bloating, and more, and that since these symptoms are caused by hormonal changes, it might be possible that PMS is the cause of the symptoms they are observing. (Though this isn't directly relevant, they might also be interested to learn that PMS symptoms do not always precede a period even in cis women.)
"Intentional appropriation and trivialization"? You seem to be taking other people's cramps as a personal insult. Consider empathy instead.
Let's say a women (as in an actual female woman) started having symptoms of needing to urinate more frequently, finding it difficult to start urinating, finding blood in her urine, and having back pain. She looks up these symptoms on a medical website and considers that she might have prostate cancer.
Does she have prostate cancer? Can she have prostate cancer? No, because she is female and does not have a prostate gland.
Same principle applies to these males pretending to have premenstrual syndrome. It simply does not and cannot apply to them. That they claim otherwise is just part of their sad effort to roleplay as female.
They're not "hormonally female" either. The hormonal profile of a male taking high doses of a single exogenous hormone is nothing close to the same as that of the natural female experience: a cycle of multiple hormones, mediated by the female reproductive system.