veterinarians I know have use slow blinking to put stressed cats, and feral cats at ease before treatment. The first time I tried it with my cat, I was amazed at how the cat and I just took turns blinking and mirroring each others' blinks!
Recently, Science Reports has published a systematic investigative study "The role of cat eye narrowing movements in cat–human communication" where they discuss their methodology and conclusion suggesting "that slow blink sequences may function as a form of positive emotional communication between cats and humans". It is further suggested that eye narrowing in cats is akin to a human smile versus the actual smile of Alice in Wonderlands' Cheshire cat.
This information may, in the future, be a tool to inform people as to the emotional welfare of a cat in a variety of environments.
Try it! You'll like it!