From the first of these papers, which is a review of "the impact of race/ethnicity, education, and income on transgender individual's lifetime experience of suicidal thoughts and behaviors (SITB) in gray and published literature" these are some of the 'limitations' of the studies which were analysed (there are many more).
These findings are preliminary and lack generalizability for several reasons. The included studies rely heavily on self-reported SITBs and individual definition of “attempt” and “ideation” can vary a great deal, particularly when a definition is not provided and only a single question is used.
Participation bias, particularly in mental health research, is also an issue in recruitment and reporting of participants. ... More broadly, people who have experienced SITBs, or are in greater distress generally, may be more likely to participate in studies on this subject. Likewise, research undertaken on clinical populations, or only those with specific presenting issues, may find higher rates of SITBs than population or community-based samples.
Seems somewhat inconclusive.
The second one says:
We observed no increase in suicide death risk over time and even a decrease in suicide death risk in trans women. However, the suicide risk in transgender people is higher than in the general population and seems to occur during every stage of transitioning. It is important to have specific attention for suicide risk in the counseling of this population and in providing suicide prevention programs.
I haven't had time to read the whole paper so I'm not sure if there is a comparison made with suicide risk amongst other vulnerable or minority groups who also have a higher suicide risk than the general population. As you've read it, perhaps you could quote some of the relevant parts or give us a synopsis.
But even if there is a higher suicide risk amongst trans people, what has this got to do with women being allowed to retain their sex-based rights? Are you saying we should give up some of our rights because some men feel suicidal because we have those rights?