That is absolutely not true. File storage must be managed by the Bubble dev.
Also, it might be helpful to understand how images, in particular, are handled by Bubble. You can check out this post for an overview; but basically, Bubble automatically optimizes served images via an external service called Imgix. It’s not actually the uploaded image residing in Bubble storage that’s served on a Bubble page, but rather a web-optimized version of it.
And while the cost of Bubble file storage has decreased dramatically since this old post was written, it’s still a good general practice to optimize Bubble file storage by keeping the size of uploaded images down and implementing the appropriate logic to reduce or eliminate orphaned files.
EDIT
Just wanted to note that there’s a way, via a query string parameter, to bypass the Imgix optimization, but generally speaking for most use cases, it’s not necessary or recommended.