I guess this is one of many ways to improve it, I can still give my reasoning:
With the current setup you don't have any setup. You don't need an account, you can just start.
As I wrote above, trying to minimize all of the friction, this was easy to implement and made sense.
How would you imagine the cloud storage feature?
Small suggestion/question (you would have probably thought about it and I wonder if you consciously decided against it) - why not provide a way to seamlessly store it in cloud storage - google drive, etc?