I think that’s part of the joke too. Like the whole comic has been written out of order due to race conditions; rather than just the father represents race conditions.
It’s one degree of humour too far though, if that’s the case, doesn’t really land.
This is just one man’s take, but, Neds and Chavs aren’t quite the same (I grew up in Glasgow but have also lived south of the border for most of the last 18 years). Neds are criminals, Chavs are anti-social. The equivalent to Chavs in Scots would be Jakey, Bam, or Gadgie.