"Animals in Entertainment" refers to any animal(s) used to act, perform, fight and/or kill for the enjoyment of humans. The term encompasses many different forms of entertainment – from circuses to movies to bullfighting. Except for a few situations, most animals are taken out of their natural environment to perform acts not typically in their behavioral repertoire. There are many other educational films and television programs which accurately represent animals while utilizing animal actors. Such works can advance knowledge of animals and raise awareness of their lives and needs.
Because of animal export laws, "Game of Thrones" has to film scenes in many different parts of the world. However, that does not mean, there should be any relaxed travel guidelines for animal actors. Strict animal import laws are necessary for public health and safety reasons. Health issues should always be given first priority.
Travel guidelines should remain the same for all animals, including animals that are used in films. The guidelines are in place in order to prevent the spread of diseases into countries in which they are not present. If the guidelines were eased for animal actors, they could introduce diseases in locations in which they are filming, potentially decimating the local population because of a lack of resistance to the virus or bacteria.
I think it is important to maintain animal export laws without exception as they are in place for many reasons, all of which are more important than keeping production budgets down. There are obviously issues around pest and disease transmission in to vulnerable climates, but also issues around animal welfare too. I don't feel it is fair to transport animals around the world unnecessarily - they will be cooped up in cages and distressed by the procedure. It is much better to transport humans and equipment around, or source local animal actors.