I lived in Iceland until quite recently but honestly I had no idea any of this was going on. The swimming pool changing rooms over there are completely open, everyone walks around naked, showers as a group etc. No cubicles even if you wanted them. It was a very safe, clean, and liberating space, with several members of staff in there at any given time. I went swimming every day and never saw a man in there, trans or otherwise. The pride parades were very family friendly, lots of blue hair and drag, but nothing outrageous or fetishy, certainly no violence. The administrative system over there is extremely centralised and the population is tiny so I imagine this was an easy change to make. I never saw anything over there to suggest TRA type behaviour or the invasion of female spaces, so I expect self ID could work OK for them. In general crime is very very low over there and the people are really kind and friendly. I miss it (not the 6 months of darkness or the insane prices though).