In alcohol precipitation, DNA becomes less soluble because it is:
In alcoholic precipitation, DNA hydration is critical for solubility. Water molecules form hydration shell around negatively charged phosphates, keeping DNA hydrophilic and soluble. Addition of ethanol lowers dielectric constant of medium, reducing water activity and allowing monovalent cations to neutralize phosphates. This strips hydration shell, exposes hydrophobic nitrogenous bases, and makes DNA more hydrophobic and less soluble in polar solvent. Aggregation and precipitation follow. DNA does not become more hydrophilic, denatured at room temperature precipitation, or ionized further; hydrophobicity increase drives insolubility and aggregation in alcohol.
Ref: NCERT Biology Class XII Principles on Klenow fill-in labeling, Lehninger Chapter 9 DNA cloning techniques, and Molecular Cloning by Sambrook Chapter 10 documenting end-labeling of cohesive termini.