https://link.springer.com/article/10.1007/s00431-021-04240-7
https://psykiatrifonden.dk/files/styles/common_04/public/med...
Mænd=Men, Kvinder=Woman, I Alt= Total
And falling suicide attempt rates over the same period:
https://psykiatrifonden.dk/files/styles/common_04/public/med...
Statistics are from the Danish Psychiatry foundation.
If you review the article you linked you'll see that female suicide in Sweden is actually lower in 2018 than it was in 2009. So it' doesn't match the same rise since 2012 seen in America.
https://media.springernature.com/lw685/springer-static/image...
And sure you can fit an overall rise across all the years, but it's clear from inspecting the curve that this is not a strong correlation, and in fact if you remove the years prior to 2008 that should be irrelevant for the changes due to social media since 2012, then there is no upwards trend. So what is actually seen is likely better explained by relation to the general economic prosperity prior to 2008 and downturn after than anything related to social media.
I was about to just make that joke, then realized that actually social media might be worse than alcohol…