When you open the Hey inbox, it only has the important stuff in it, not the messages of whoever decided to reach out to you today. It's a subtle difference but I love it.
Then when you have a moment, it's also very satisfying to just go through the screener list in bulk and click thumbs down/up and knowing you'll never see that sender again. Sometimes in GMail, no matter how many times I mark some thing as spam, the mail keeps on coming. Hey is the nuclear option to Gmail's fly swatter.