Does dark energy really revive using DESI 2024 data?

We investigate the impact of the Dark Energy Spectroscopic Instrument (DESI) 2024 data on dark energy scenarios. We thus analyze three typologies of models, the first in which the cosmic speedup is related to thermodynamics and the second associated with Taylor expansions of the barotropic factor, whereas the third is based on ad hoc dark energy parametrizations. In this respect, we first work at the background, inferring a posteriori kinematic quantities associated with each model. Afterward, we obtain early-time predictions, computing departures on the growth evolution with respect to the model that better fits DESI data. We find that---depending on the combination of catalogs hereby considered, but…