Frame challenge: I don't really see why this is a problem in a pre-industrial society.
The simple reason why people don't pursue divination is because they don't have time to do so. For your average person (a hardworking peasant) it is quite useless because they'd have to take time away from directly bread-winning activities to practice and train a skill of only marginal utility.
More specifically, outside of certain edge cases, it doesn't put food on the table. Let's say a farmer's boy is born with precognitive capabilities. What is he going to do with them? He can't predict weather or climate patterns, nor can he predict if there will be frost at night. Sure, if he's awake and aware he can predict if a neighbor's house will catch on fire or if the village will get raided by bandits or maybe prevent accidental injuries, but otherwise? A couple hours is really short, and especially if your flavor of precognition is more "vision" based, only of marginal utility for the average person.
Really, this gift would be most useful in high population densities where more happens and where there are more people who are rich enough that they can spend the time to specialize in an uncommon skill. I can imagine that just like your average village of a couple hundred might have a single smith and one full-time priest, they might have one full-time seer who's job is to watch all day and prevent farm accidents like injuries, fires, or even costly mistakes. A professional seer would show up at people's houses and point out where the cook fire's about to catch on the house or where someone is about to swing an ax into their leg, and extract payment.
By virtue of simple pre-industrial economics, the amount of people who have the time and wealth to pursue an activity that doesn't directly create food is already limited to numbers in the 1% and lower range.
EDIT: Note that precognitive power is a sliding scale. On the low end you have things like "danger sense" or ritualized vision-quests and at the high end you get nigh-omnipotent Contessa-Path-to-Victory-level precognition. Obviously, the more powerful your average diviner is, the easier it becomes for them to make it their living.