Your journal keeps day to day conversation logs so you can track what happens on what date. My point is that the telescope is intended to guide to players to interesting locations. These locations are at the far ends of the map. Fires also have the potential to burn for hundreds of years - as long as there is a fuel source. Who's to say that the people outside haven't been actively attempting to fight the fire before you got there and have thus far been unsuccessful? The lack of time indication at the inn allows the player to rationalize their own theories.
Speaking strictly from an immersion perspective, if you see a burning Inn one day one and on day 5 see that the inn is still on fire, it's STILL on fire - the devil in the details is as in depth as your imagination. You can say, "this doesn't make sense, fire needs fuel" and I'll ask, "what's the inn made out of? What happened to that shipment of firewine at the inn? What about the numerous kegs of supposed firewine and alcohol at multiple locations throughout the inn? What sort of fire is this?". I'd put forth the concept that your attachment to reality is what broke your immersion, not a fantasy world where most actions rely on dice rolls.
Let's think about the Gith'yanki event. The cutscene has a man saying, "this is your last warning". It is within the realm of possibility that they have been arguing or maybe drew a stalemate until the exact time of your arrival. Maybe The Flaming Fist doesn't afraid of anything.
The story implications for goblins attacking redcaps at the bog are vast - that shows conflict with two decided forces and would make you question why. What about when you get to the bog and all you see are sheep? Where are the bodies? Those spiders in the forest, where are they? Why doesn't the PLAYER see the animals in the forest that the spiders are hunting?
Are there any other points you can think of that are strictly time sensitive once you scout it and fail to make sense once you arrive?