In another case, if they establish communication with a certain country/organization, but they cannot arrive, and somehow can only communicate with that certain country/organization, then it could be a different story.
I think a much more interesting thought experiment is this: if an alien race chooses to make First Contact with us, what’s the likelihood we’re actually the first for them? Being a student of history, it’s a stretch for me to think they wouldn’t know these sorts of events trigger drastic changes in the native populations (usually resulting in death) when encountering a more developed civilization. So, I’m forced to conclude that if they do make First Contact with us we’re either the first for them and we’re doomed, or we’re not and they have some sufficient protocol for First Contact that’s “good enough” that they benefit in the exchange. Either way I don’t think Humanity makes out well unless we get lucky with some really benevolent explorers.
I think we should really stop thinking that space travel is the natural continuation of the geographic explorations and colonizations of our past. It has nothing to do with it- new planets cannot be colonized because they're uninhabitable (Earth included for an alien) and distances are too big to transfer significant amounts of population.
What if it's just a scout/science vessel?
Some people believe that science advances should progress like explosion, and "Any sufficiently advanced technology is indistinguishable from magic". In this case the possibility of aliens being at the similar level with us is small.
But I think you have a point. Sometimes I doubt the speed of science advances. Maybe the aliens are not so far away from us and their astronautics is not much stronger than our level. They don't look like magicians. In this case things can be boring, may be just an age of discoveries for the aliens.