My thought is that these scientists are making some wrong assumptions such as aliens are something totally independent of earth and human life and have never been here and don't have a clue about us. To me, these scientists have their noses in this project while aliens are flying right over their heads.
I think aliens can get our internet access if they wanted to already.
I
kind of agree with you George, there are so many assumptions that SETI make about another "advanced" species having evolved in a similar way to us, having developed similar technology to us etc. There may be another species out there, way more 'advanced' than us, yet they are not even aware of "radio waves"; they might communicate by telepathy for example, so why would they be interested in investigating radio waves? I think Hollywood has a lot of influence on the assumptions people make, that is not a flippant remark, I just mean to say that kind of thinking is deeply ingrained into our 'global' culture because of what we see on the TV screen or the cinema screen. I think to deny that is being a little dishonest.
Also, we project ourselves on to
everything; other mammals, inanimate objects and, of course, deities!
To answer the question the OP asked, yeah, send them the internet, why not? They may be appalled by our obsession with sex and celebrity but at least they'll get to read
my wise words and know there is intelligent life on Earth!