There's nothing stopping you from using a scale-out architecture with Aurora, and nothing stopping you from running MySQL on your own hardware with loads of SSDs to get the throughput you are after.
"Baseline storage performance is rapid, reliable and predictable—it scales linearly as you store more data, and allows you to burst to higher rates on occasion."
You mean to say that I can scale my single MySQL instance linearly with data storage by just throwing bigger SSDs at it? That has not been my experience, please share how you have been able to accomplish this?