Your so right... and yet.
The Wales Project are looking at these old profiles and trying to decide how to deal with them. The fact is that someone with a singular lack of understand of Welsh patronymics decided that the surname was Cynan. Wrong...
The second problem is whether we should include legendary characters at all. There is mention of Cadfan in a variety of sources, but none that we should count as reliable. For instance he is mentioned in the Brut y Tywysogion otherwise known as the Gwentian Chronicle. (A copy of which I have beside me) But although this was said to have been written by Caradoc of Llancarvan who died about 1147, many people now believe it to have been "enhanced" in the late 18th century. He is also mentioned in Enwogion Cymru, where there are quite a lot of details. Unfortunately these have been taken from the ByT.
As Darlene so rightly says, we need help with researching these profiles. Any additional sources you can give would be much appreciated.