It seems that someone has requested the feature in another post but was unnoticed. So, I just copy and paste his post here. After all, I really think the “suppress author option” is quite meaningless.
Thanks for the request, @Nashi_Shuai. This has actually come up a few times over the years –
It’s on our wishlist; we have so far prioritized implementing other (more demanded) topics which will be implemented soon. I have added your +1 to the topic on our internal tracker
It’s also frustrating because when I click “Update citations and bibliography” using the extension, it reverts all citations to the (Author, year) version and I need to go back and change all the narrative citations.