They do but that is a digital store & rental service you cited, basically like iTunes. The streaming service they own is the entirely anime-focused Crunchyroll and it’s not managed specifically as an outlet for Sony Pictures because that’s not its core audience.

Sony Pictures for its part does quite well for itself not being tied to a specific vertically-owned streaming service, and given the number of those already out there which will eventually consolidate, they’re probably all the better for it.