Flat UI Elements Attract Less Attention and Cause Uncertainty (2017)
nngroup.com
nngroup.com
EDIT: It seems like in most other examples they didn't do this: https://www.nngroup.com/articles/heatmap-visualizations-sign....
On the other hand however you can argue that just changing certain control elements and not the overall design as well will have an impact. It's possible that the control elements would have been more visible on a website where the rest of the aesthetic complements them.
The other examples are just... different.
One is links styled vs blending in.
The barnes + nobles would be nice for the buttons but they also removed shading and the caused visual hierarchy in the menu on the left.
Herz I can get behind apart from the inactive tab style