We still don't know if HTTP2 support has been officially here for GoogleBot but we think GoogleBot works fine with it now. We also know that Google said there is no direct HTTP2 ranking benefit.
But is there an advantage? It is faster.
John Mueller of Google said on Twitter that HTTP2 doesn't give GoogleBot "a big advantage." He said Google and sites work fine with HTTP2, but there is not only no SEO advantage, there is not indexing or crawling advantage he added.
Here is the tweet:
@seokai It doesn't do HTTP/2 requests, but sites using HTTP/2 work fine with it. I don't see a big advantage for Googlebot. Why do you ask?
— John Mueller (@JohnMu) October 7, 2016
Forum discussion at Twitter.
This post was scheduled to go live today but was written earlier - I am currently offline today.