Since Diaspora is based on federation, you might even be able to do some neat tricks having your browser bypass your current servers and talk directly to other Diaspora servers.
There are probably tons of security issues, but for some read-only cases it might be useful.
Ok, maybe not tons of security issues, but maybe some pitfalls.
My imagined use-case is where your friend on a different server posts an event, it gets put into your feed, and when you view your feed you're able to see an updated list of people attending by directly querying the friend's server. Would be pretty slick.
There are probably tons of security issues, but for some read-only cases it might be useful.