Okay, I've skimmed the paper, and I really doubt that this is saying anything of note. Their thought process is to apply classical (non-quantum) thermodynamics to perfect fluids, and derive the consequences for these fluids in an expanding universe. It's an interesting bit of math, but I really don't think it applies to the problem at hand.
Dark energy models are fundamentally quantum-mechanical, and I don't think that conclusions can be drawn about their thermodynamic properties without using that fact.
There's also the potential issue that we don't yet know how to do the thermodynamics of gravity except in certain special cases. It might be possible that this complication doesn't apply here (a homogeneous, isotropic universe with dark energy might be fine), but it's a major caveat that needs to be examined.