No, because exporting is not automatic. Most users won't do it.
It's true that most users don't want to configure remote storage for each app. That's solvable though. There should be a way to store your remote storage preferences and just give each app permission to store there in one click.
"Just make it one click to store it in a wide selection of remote storage options" is easier said than done. From the standard user's point of view, they don't need to be reguarly exporting, they can just use that option if they want to change apps or if the app itself is at end of life.
It's true that most users don't want to configure remote storage for each app. That's solvable though. There should be a way to store your remote storage preferences and just give each app permission to store there in one click.