Early 2000s to mid 2010s movies shot digitally? Sure. Film shot movies, especially on 35mm or larger, absolutely look better in 4k. Especially when they’ve been restored from the negative and converted to HDR for a 4k release.

There’s a lot of older movies out there where the UHD Blu Ray is the definitive version to own, looking significantly better than any prior version (and will likely never look better).