>>734723
The Novatianists were identified as καθαροι/katharoi/purists, similarly to the Cathars. However, Novatian's followers were essentially even more extremist Donatists that believed a Lapsi (one who had renounced the faith and/or sacrificed to the Roman Pantheon) should be permanently barred from Communion and was forever condemned.
Doesn't sound like Cathars, or Baptists for that matter.
However, they're already listed earlier in the graph, so maybe the author is referring to a different 'Cathari'.
The closest comparison to Cathars in Late Antiquity would be, perhaps, Arians or Manicheans. Arianism in Southern France can be sourced to the Visigoths, and Manicheans either spread there independently or got deported there by the Romans. As far as I'm aware, there was no identification with the term 'Cathari' in the region until, well, the Cathars some centuries later. Maybe it's just a clerical heh error, as the actual Cathars are nowhere to be found (even though the chart includes other Gnostic groups without a care for the consequences).