But then you're back to needing to run your own proxy server as it's also going to have to terminate SSL and therefore will be able to read everything that goes

But then you're back to needing to run your own proxy server as it's also going to have to terminate SSL and therefore will be able to read everything that goes through it. For this to be truly useful, it needs to embrace the "go to a URL and it works" paradigm of the web. If I need to install something locally, or setup a proxy server, or install some code on my git server, it's a non-starter to me.