What's the difference between random-cut and grid-cut puzzles?

Grid-cut puzzles (Ravensburger, Galison) use a regular row-and-column lattice, so pieces tend to be similar shapes. Random-cut puzzles (MasterPieces, many White Mountain) vary piece shape and size, which reviewers in puzzle subreddits say makes large single-color areas like white walls or sky noticeably easier to solve.