I'm not sure if the anime will ever get there, but if you read the manga past the end of Super (which ends on the Tournament of Destruction saga last I checked, like the one with Jiren, and then the Brolly movie), there's more Frieza development. Btw I suggest reading even the parts at the start; it's more of a companion piece than the retelling of the exact same story on a different medium. There is overlap between them, of course, but also a bunch of not overlap. Like Zamasu is more fleshed out and his whole path makes more sense in the manga.

Anime has more fighting, manga has more story telling.