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A Twitter user's page usually shows Tweets, Following, Followers, Likes, and Lists at the top right below the banner image, as seen on @shanselman's Twitter page:
But it's apparently possible to hide everything but Tweets and Followers, as seen on
@IAmDeveloper's page: 
What Twitter setting accomplishes this?
It's not a setting. It's what happens when you don't use them.
If you didn't create any lists, Lists will not show.
If you don't favourite/like/heart any tweets, that Likes tab will not show on your profile either.
