I often listen to Japanese music even when doing reviews. Usually it doesn’t bother me since I’m not really focusing on the lyrics, but every once in a while my mind gets overwhelmed and I turn it off. Other than Japanese music I either listen to video game music, classical music, or just do reviews in silence. Just depends on my mood.
By the way, I opened the YouTube video you linked to and I’d never be able to concentrate on reviews with something like that. 

