Went out and tried to do a more direct comparison between the 2018 Fujifilm X-H1 and the 2013 Sony a7R.

The X-H1 at ISO 200 with the 35mm f/2 at f/5.6 and the a7R at ISO 100 and the 55mm f/1.8 at f/5.6. Using a sturdy tripod. Processed RAWs.