That link does not have information on the contribution of private aviation. You are assuming it.
In this BBC article on What's the climate impact of private jets you can read that
"Emissions per kilometre travelled [using an airplane] are known to be significantly worse than any other form of transport.
(...)
Private jets generally produce significantly more emissions per passenger than commercial flights."
Did I knew the source that supported the comment of /u/malaph, no, I didn't. I don't have premonition abilities.
Are you okay?