Why science will never know everything about our Universe
Ethan Siegel

The case you’re making for there being a finite amount of accessible information depends on an implied assumption that the Hubble parameter is fixed rather than variable (or at least, that the dark energy itself is fixed). What’s observable today expands or shrinks as the Hubble parameter changes. If the dark energy is just a cosmological constant (simplest assumption) then I agree that the amount of accessible information will always be finite. But if the dark energy is dynamic (quintessence), then I think the possibility still remains that there is an infinite amount of information in the universe which could eventually become accessible.