It is true that the connection between Hangul and Phagspa is uncertain, although the evidence is very good. If the genealogical information was completely removed from the table, then it would say artificial script, which is not true; since there certainly is connection between Hangul and Phaspa (quoting kwami: "The evidence actually is very good, though a minority opinion."). It is best to list the entire genealogical information, with an additional notice that says the connection is uncertain. I have done this by including the word "(uncertain)" next to Phaspa in the table.