> Social media sites do this because all their stats show that users actually ‘like’ non chronological order even when they say they don’t.

I think the issue is a little deeper: it's not that people want chronological vs. non-chronological timelines, it's that they want a way to get the "best", "most relevant" content to be surfaced from those timelines and presented in a sane way. Non-chronological timelines are better at producing the "best", content (for some relative definition of "best", at least), but by presenting it out-of-order, it requires more of the user.