Most things I read I have no idea of the sex of the author. Do people even look at author names before they start reading (online, say), and even then they can be nom de plumes, or non-gendered names (sometimes surprisingly).
During debriefing, we would tell the subjects what we were actually looking for (perceptions based on gender) and most reported not remembering/caring about the gender of the author, but nonetheless the results were clear that there was a gender bias, regardless of whether they reported remembering or caring about the gender of the author.
At the time, I felt like "Sexism is dead" and the university I was in was 2/3rds women to 1/3rd men, so we'd never find a bias.
As a young man (18/19) I learned to question my assumptions. I thought "It's the 90s, sexism is dead.", but it just wasn't true.
How much more? That's really important.