Twitter announced simplified profiles that hide "@" replies when you look at the profile, the same way they're already hidden from your general stream of tweets. But, if you want, you'll be able to turn this feature on and off.
"This simplified profile, rolling out to verified accounts over the coming weeks, makes it easier to understand what kind of content the user shares on Twitter, and what Tweets you'll see if you follow them," Twitter said in a blog post.
(Remember that replies on Twitter begin with an @username and are only seen by people who follow both the Tweet author and the @username at the beginning of the Tweet.)
Inshort, when you're looking at a profile, you just choose whether you want to see "all" tweets" or "no replies." "When you visit a Twitter user's profile, you may want to see his or her original Tweets rather than their conversations. Then again, you may enjoy seeing the back-and-forth exchanges they have with other Twitter users. Now you can have it both ways," Twitter said.
When you visit the profiles of verified accounts, such as @bubbawatson, @NASCAR or @Pepsi, by default you will see their timeline of Tweets without replies: that is, you won't see Tweets that begin with an @username. If you'd like to see all Tweets including replies, you can easily select "All" above the Tweets timeline on these profile pages.