I know nothing whatsoever about this but the article which you link to contains this para:

Will this disproportionately affect Gypsies and Travellers?

No. The Act will affect only those people who fly-graze their animals – not responsible owners – no matter what their background may be. Before the Bill was presented in Parliament, representatives of The Gypsy Council spoke to Parliament's Environment, Food and Rural Affairs Committee about this issue and made it clear that they did not regard this as a problem specifically related to Gypsies and Travellers – like us, they regarded it as a problem of irresponsible ownership.

World Horse Welfare has always been clear with the public and the Government that many Gypsies and Travellers take good care of their horses and that horses were fly-grazed by a wide range of people from all kinds of backgrounds.