It would be pretty hard to get regular air-dried firewood "too dry", but you can run into it with kiln dried wood. I burn a lot of my offcuts and other scraps from my wood shop, and that stuff is all very low moisture. I am careful to not go too crazy with it and only add "some" of the scraps to regular firewood so I can both get rid of it and not make the fire so hot that it could damage the fireplace. It also helps a lot on getting the fire started from cold (kindling).
Our woodworking group toured a glulam manufacturer nearby once and they said their guys love to take offcuts home to burn but need to be careful since they are so dry as some have damaged their stoves in the past by loading in too much of the dry stuff. Those tended to be bigger chunks too, so they had a fair bit of mass that would add to the heat.
So there is the real-world context on what too dry can mean... Not gonna happen with split firewood.