I have a feeling this will decrease customer interaction. People don't want to see annoying website behavior while browsing. A blinking tab is a straight up 'NO'. It's creative though 👌
If I keep a tab open, my intention is come back to it later. Why mess with that and annoy people? Not only will people be annoyed by a blinking tab, but they won't see the name of your website. I automatically close tabs that do this. Let's not make the web any more annoying than it already is.
Please don't start using this. We don't need yet another annoying, distracting thing like this.
I don't think it will increase CR, it will rather cause the tabs to be closed.
Seems very childish.