My understanding is you have to ask to be in the news wheel.
Anyone can ask to be removed from the index. The internet is old enough that it has long been standard that search is opt out, when you are part of the World Wide Web.
Does that matter though? If they control the means of getting to the user for entire segments, it makes alternatives less viable. Users don’t have much choice (it’s not like there is another competing news UI element that a user can choose to occupy those parts of the screen) and there isn’t really fair competition.
Anyone can ask to be removed from the index. The internet is old enough that it has long been standard that search is opt out, when you are part of the World Wide Web.