Absolutely! I think being able to host it locally on our own server resources and domain would be nice for not having the uptime in the hands of a third-party. Not that I don't trust that it'll be there, but as a way of guaranteeing availability and long-term permanence of data, is quite important.

Offline browser caching would be nice, even if that needs to happen via a browser extension, which might make sharing even easier, especially if you could pick a pad to add it to.