Is the link below the second one you are talking about:
https://pmc.ncbi.nlm.nih.gov/articles/PMC7419542/
Biological sex classification with structural MRI data shows increased misclassification in transgender women
Claas Flint, Katharina Förster, Sophie A. Koser, Carsten Konrad, Pienie Zwitserlood, Klaus Berger, Marco Hermesdorf, Tilo Kircher, Igor Nenadic, Axel Krug, Bernhard T. Baune, Katharina Dohm, Ronny Redlich, Nils Opel, Volker Arolt, Tim Hahn, Xiaoyi Jiang, Udo Dannlowski and Dominik Grotegerd
9 April 2020
Because if I remember correctly, I couldn't find where they did a direct control and compared the group to a group of male people taking that same hormones without that group having a gender identity. Maybe as you are an academic, you could point out where that was mentioned?
And all that I found this study to say is that the male people on specific exogenous hormones have brains that change to neither be easily classifiable as male or female. It does not say that those brains replicated female people's brains.
And we already know that specific hormones create particular differences in human brains. So too does particular interests. I would expect how someone views themselves will also create differences within the brain.
Considering how many medical research teams have now reviewed the studies published around the world in different reviews, if there was strong evidence that brains showed particular measurable differences that indicated some one was transgender, surely we would be hearing a lot more about it. And it would be part of diagnosis. But it is not part of diagnosis at all.