The day Twitter introduces an algorithmic tweet feed is a sad day. Unfortunately I think it will come.
Why would Twitter throw away the user goodwill and financial success earned from a multi-year rollout of promoted tweets, by settling for a simplistic pay-to-play protection scheme to extract money from advertisers?
The OP article explains in detail how Weil has focused on targeting to improve relevance and engagement. Such targeting depends on data, which depends on an explicit interest graph. It would make no sense for Twitter to destroy the asset that provides signal to the ad biz.