"all the other animals that come come and go as they please". Cats, dogs, alpacas, wild boar, deer and rats.
right take each in turn. TB in domestic dogs and cats is tiny. Alpacas are generally fenced into small paddocks and not nosing round dairy farms late at night. Wild boar - in the FoD yes they roam but then there aren't many dairies in that neck of the woods. deer = heavily controlled. rats - not known to travel vast distances and although they might act as vectors I should imagine that TB would kill them before they get too far. If you want us to recognise your argument you need to