For anyone looking for a hosted solution, https://surge.sh/ is super nice and simple without any of the complexity of managing the stack yourself. Deploying uses one simple command, and you get hosting and custom domains for free, though I believe SSL is paid for custom domains. (I'm not affiliated with Surge at all, just a happy user.)
I was actually wondering that myself: Is there interest in a hosted service? It'd be quite similar to (as many comments have suggested) Netlify and the one you linked to.
I was mostly going for a DIY solution since I wanted to "own" the bits being deployed while remaining as close to the infrastructure as possible. Providing a hosted service somewhat moves away from the DIY spirit; I suppose additional tools/UIs could be offered to simplify setup and deployment and still run everything directly on AWS, but at that point one might be inclined to just move to one of the other hosted solutions for the simplicity.