site:github.com <terms> is all the integration that I need.

So it's already free, it's already integrated into Google's search, if I want to be social about what I'm coding I can easily share it on G+...

What problems would be solved by doing anything differently?

If Google bought it and nothing changed I'd be happy!!! However, I don't think that'd be the case. Things would change and I suspect for the worse, since it's not a big cash cow like search is.