Not really sure; I've been using Formspree for a while now with no complaints. Typeform looks interesting as well, but I haven't really found a persuasive argument to get me off of Formspree for most things.
What I meant wasn't that everybody should build their own form-to-email redirector, but actually the opposite: why, after Formspree, Formkeep, Typeform and various others, developers keep coming up with the same solution? I thought programmers -- especially when doing side-projects like this -- liked creating new things, thinking about newer ways of solving problems, or solving new problems.
Looks good, I'd like to see the UX of viewing form content. Also, the demo code should use https right? The demo code should also be text (use a pre tag) instead of an image screenshot.