The survey does seem to be floating the idea of registration of all birds.
We are seeking your views on our plans to make it compulsory for all poultry[1] and other captive bird[2] keepers[3] to register their bird(s) with the Animal and Plant Health Agency (APHA).
[2] “Other captive birds” in England and Wales means any bird kept in captivity which is not poultry and includes a pet bird and any bird kept for shows, races, exhibitions, competitions, breeding or for sale; or
In Scotland “other captive bird” means any bird, other than poultry, kept in captivity including any bird kept for shows, races, exhibitions and competitions (such as ornamental birds and racing pigeons).
Whether it comes to that is another thing. I can’t see how a bird inside your home is at the same risk as poultry outside in your garden