I started to use third-party twitter clients exclusively because of the annoying timeline manipulation. Now this.
Is there any other way around other than quitting twitter ?
Instead of following people, add them to a list. You get a sequential feed of tweets from everybody in the list, and no ads. Works across all official Twitter clients, no need to worry about API restrictions or token limits.
Tweetdeck.
Tweetdeck isn't third party
It does however avoid screwing with the timeline order, and I find the column layout very convenient in most cases.