I would pay quite a bit for a newspaper in Jefferson's proposed format. To be quite certain that something is true for current events, the reports on those events would likely have to be delayed days or weeks after they broke. I would be fine with that and is the complete opposite of today's instant, viral seeking, click-bait, emotionally charged media landscape.
Edit:It would be even better if this paper was connected to a prediction market where people could bet real money on if the "Truths" and "Probabilities" events will be shown to be false at certain time steps in the future.