The information is absolutely not gone.
Does it state that it hallucinates craters that were not there in the original, or is it possible the filters simply did an FFT, adjusted the power spectrum to what we expect of a non-blurry picture, hence inverting the Gaussian blur?
EDIT: Note that a deblur of a smooth but "noisy" image can cause "simulation" or "hallucination" entirely without AI. Could be any number of things causing an output image like that (wavelet sharpening, power spectrum calibration, ...). Even if the information isn't recoverable as such, a photo of a Gaussian blur has an unnatural power spectrum that could easily "trick" conventional non-AI algorithms into doing such things.
Especially since the only thing I see in the output is "more detail" (i.e. simply a different power spectrum than the author expected..)