@suggestionsplease1 , I have now requested that bathroom paper. It's very odd not to have it easily available, however.
On the question how self-id might affect women's rights:
The bunch of countries which have it is comprised of many where women's rights, to begin with, are absolutely not a priority and where it is unlikely statistics will record things about such rights in much detail (Pakistan comes to mind and some South American countries and Malta), so just having self-id does not itself correlate with women's rights.
So perhaps a better way of looking at your argument is that having self-id won't affect women's rights either way? Finland, though, just changed the law so data from there would currently be nonexistent.
That means we should look at the few countries which remain and which are also high in women's rights, to see if self-id has made any difference or not. I believe we should certainly do studies on that and would read all of them, but so far I have not seen any mentioned. If you are aware of any, please let us know.
But in the absence of such studies we might be allowed to speculate. I wrote earlier in this thread that even the very small numbers of transwomen and transmen and nonbinary identifiers are going to show up on statistical data in fields where women are currently very rare:
-As perpetrators of voyeurism and exhibitionism and pedophilia and rape. Because so few women are found guilty of these crimes, even small absolute increases in the numbers will affect the statistics and show an apparent increase in female perpetrators of such crimes. This could lead to misallocation of preventive resources etc.
-In IT, say, where individual firms can now show greater numbers of women hired in senior management even if no female people were actually promoted, given that transwomen can now also be used to fill those positions to meet various diversity requirements. This is a problem, because nobody thinks that transwomen are not capable of mathematical and logical thinking; all the prejudice in the field has been aimed at what might now be called vulva people.
I'm not certain if we can evaluate the possible impact of self-id in a short-term framework, because it takes time for predators to really understand that they can now tick boxes for the kind of prison experience they prefer, even without taking any hormones, and female prisons tend to be preferable to male prisons to many male inmates.
And it takes time for predators to realise that they can, indeed, now unquestioned enter spaces where women and girls undress.
It also takes time to see the pipeline for girls into, say, weight-lifting and other elite sports to dry up.