Having a think again about the available stats on trans sex offenders in prison . . .
There is evidence from sentencing, reported in the press, that judges sometimes consider "struggling with gender identity", "gender dysphoria" and concerns about "vulnerability" in prison to be factors in opting for a non-custodial sentence.
Should this apply equally, or more so, to non-sex crimes committed by trans people then it might account, at least to some extent, for the disproportionate number of sex crimes as a reason for imprisonment of males who are recorded as "transgender", ie. as compared to other males.
That is, that once "trans mitigation" sentencing leniency for other offences is taken into account, it is possible that the difference between trans and non-trans male prisoners convicted of sex crimes might disappear.
(IIRC the prison figures do not include any males with GRCs who might have been imprisoned for sex crimes, as they would be recorded as "female" and not as transgender. The figures for all males are of course wildly in excess of those for females, even if the "female" number includes some males with GRCs.)
However, assuming for sake of argument that it could be proved that "sentencing leniency" had no effect and that Signalbox and OldCrone are correct in their calculations, and that "transwomen are nearly 3 times as likely as other men to be sex offenders" what would be an appropriate response to that information at a societal level?
I would suggest that it bolsters the argument for all males to be excluded, as they were traditionally, from settings in which women expect to be free from male predation, voyeurism, coercion and exploitation for sexual gratification.
Secondly, that males who claim to be women, whether they seek to present in a "feminine way" or not, should be acknowledged to be a higher risk as a group than other males, rather than being downgraded to the same risk level as females.
I am not sure if the latter is necessary for safeguarding reasons but it might open up the public conversation about the strange situation whereby pubescent girls are bracketed with middle-aged and elderly men as "trans", supposedly having commonality of experience and being part of the same "community".