Unfortunately this is antithetical to the advertising-based revenue model these sites operate on. There's no incentive for the site to relinquish their control over what you see and return it to the user.
On an anecdotal level, the fraction of tweets in my feed that are "recommended topics" or "liked by people I follow" or simply "promoted" has risen astronomically over the past few months. I have a pretty curated list of follows (~100), I had the "show me tweets in chronological order" box checked back when that was an option, and the signal to noise ratio has still become overwhelmingly unusable.
On an anecdotal level, the fraction of tweets in my feed that are "recommended topics" or "liked by people I follow" or simply "promoted" has risen astronomically over the past few months. I have a pretty curated list of follows (~100), I had the "show me tweets in chronological order" box checked back when that was an option, and the signal to noise ratio has still become overwhelmingly unusable.