To be able to view a case, a brute force attack of only 839,808 requests (on average) is enough. Read this answer and my comment for why.
Even for slow web servers taking 0.1s per request this takes only a day. And in another day (on average) one has access to all other cases of the correspondent.
I think all this is very insecure. I have a feeling that Fog Creek thinks it's secure enough for everyone.