I can confirm that this is indeed a bug. The quick description of what's going wrong here is as follows: In CallBaz, there is a single callsite that is invoked three times. That callsite is an InvokeMember, because that's the best guess the compiler can make given the C# syntax, despite that it could, in actuality, resolve to a GetMember followed by an Invoke.
During the second execution of the callsite, this is indeed the binding that the runtime finds. And so it produces a deferral to a GetMember followed by an invoke. The bug is that this deferral does not properly restrict itself to the case where the argument is the anonymous type. Therefore, in the third execution the deferral kicks in and the GetMember tries to bind to Program, which of course fails.
Thanks for finding this. As Eric points out, we're in a very late stage here, and it's becoming difficult to fix issues before we ship. But we also want to ship the right product. I'm going to do what I can to get this resolved, though I may not succeed. If you come up with anything else, please feel free to contact me. =)
UPDATE:
Although I can make no guarantee what the final version of VS 2010 and C# 4 will look like when it ships, I can say that I was successful in pushing this fix through. Today's release escrow build behaves correctly for your code. Barring some catastrophe, you will see this fixed at release. Thanks again. I owe you a beer.