That is definitely an option. However what you get from a hosted service is that we do the indexing for you. That can take a significant amount of time for a huge codebase.
Love the idea, but isn't the "indexing" part of many editors and language servers already? Ctags and stuff? Never got the impression that to be a huge problem on modern hardware.
I doubt, there will be much demand for throwing large non-public code bases into third party services... However, I can totally see how this would be a hit as a FOSS project.
I've built a code search engine in the past so I know how painful debugging long indexing jobs can be and I would certainly be reluctant to support private repos until I know I can index thousands if not tens of thousands of open source repos with no issues.
