Definitely constructed stories about the past, based on surviving sources.
Even if we had perfect knowledge of the past, history would still be constructed, because it's not just a collection of all the random facts of the past. It's organized narratives, stories that treat specific aspects of the past, and as such always crafted by the storytellers.
I obviously cannot speak for this subreddit, but I'd say that by unfortunate necessity, the study of history is practically always the latter.
I think there are probably as many different definitions of history as there are users, but it's hard to study history for a long time and think you're accurately reconstructing exactly what happened.