These programmes aren't really representative of the travelling community. It isn't an easy life for any of them. In comparison with the non travelling communities, they die younger, age more quickly, have more chronic health problems and higher infant death rates. Their travelling heritage is increasingly difficult as motorways/supermarkets etc are built on areas they used to stay on when travelling the country. They suffer racism.
I have worked closely with many travelling families, and whilst their heritage and culture remains very significant, they also recognise their way of life is becoming increasingly difficult. Traveller children now usually attend primary school regularly, and often remain in high school until 13 or so. The older generation may be illiterate, but they recognise that literacy and numeracy are essential skills. Many mothers attend literacy/numeracy skills classes run for them in the primary schools so they can support their children.
I appreciate these programmes are made to be amusing, but they do tend to play to our worst fears about the travelling community.