They aren't major players, but there are still plenty of apps that are more "app with options to save to cloud" than "thin client with maybe some caching options". A quick skim on my phone shows it mostly pertains to apps that connect to other hardware (my router/modem and smart bulb, for instance), utility apps (file exploreres, calculators, and task lists), and local media apps.

But one enables continual revenues streams and the other succumbed to extremely rampant piracy in the app space. As such, even many games on mobile are service games rather than a local single player game.