To be fair, as the article says: "Can imagine the fuss if the BBC put this out about Wales!"?
I think that the clip is out of line, but only because if any other group of people was substituted for 'English' then people would lose their minds and the BBC would be right there agreeing with them.
If it was nowadays acceptable to take the pee and have a laugh at another groups expense without someone getting on their high horse then this video would be perfectly acceptable but since various ideologies, both political and religious, seem to have made it their business to have a hair trigger regarding this kind of thing then they have spoiled it for everyone