Wait! You can interpret this to mean the "night sky" is indeed "lit up" as in Olbers' Paradox --

The thing is, it's "lit up" with the 3o Kelvin Cosmic Microwave Background radiation. Which might cook liquid helium. Fortunately we aren't made of liquid helium.

Mabye I'm just being nitpicky -- The kick to this "paradox" is the same as its fallacy, that the night sky isn't "lit up".