Aren't the vast majority of us going to get infected by the Corona Virus?

Averages can be misleading, to be sure. You talk about “average person” exposing 30 people and being unable to identify 6 of them. In order to have an infected person in the group of 6, the “average person” would have had to infect 5 total people. Twice R0. To keep the averages working out, someone else needs to infect 0 other people. In other words, this can’t continue on indefinitely, where each new infectious person can’t then infect 5 more people, 1 or more who are untraceable. That would make R0 5, not 2.5.

In other words, in a specific case, your numbers are reasonable. As a population average, it doesn’t. When you take the population as a whole, the average needs to be 2.5. Your example of how 1 person can infect 10 others, those 10 others never spread it to anyone else, so that path dies and it doesn’t matter we can’t trace 2 of them.