Control over your own data (if you mean regular program as cloud apps), or accessible on multiple devices and to different users if you mean an offline computer app
Well yeah, assuming you can install it on all devices you would want to use, and that it lets you use network storage, and that the app doesn't conflict with other apps using the same network storage. A lot of apps don't have a specific app for Android, Apple, Linux, macos, and windows because that's a lot to build and maintain. A deployed webapp works on any device with a browser, and you don't need to configure every device to use the same networked storage.