[chatmasta]

How is what you are describing any different from sponsored tweets?

[ErikAugust]

You don't have to follow a bot, so you will never see their tweets in your timeline. You can't remove a sponsored tweet from your timeline.

[sbtrct]

I haven't used an official Twitter client for a while, but you certainly used to be able to block the account making a sponsored tweet, which will remove it from your timeline.