Day One Infection = Restart

It’s probably just confirmation bias, OP. The drop chance of honey from stumps shouldn’t change based on whether you’re infected or not. And honestly, even if it did (I can kind of imagine how one could set up an invisible buff to do that), I can’t imagine the devs would make it less likely. They wouldn’t go out of their way to make you find something more often specifically when you don’t need it.

If it's literally taking days of game time, then you might as well get some cash and buy a cure. There are two kinds of antibiotics, and they work better than honey.