Currently choices made by senders dictate the appearance of mail in my Inbox, specifically, via the "REPLY NOW" button. If a sender decides they want an "immediate reply," Yahoo Mail adds a "REPLY NOW" button to the mail preview in my Inbox.
I find this distracting, and I believe I should have the ability to turn that off. I don't like it. I'm told that it's not possible to turn that off in the current iteration of the product. It's invasive: it allows other people to tell me how to read/preview/see my mail. And that's not cool, Yahoo.