By the way, though host Fred Child doesn't ask about any of Chris Willis's film credits, so I checked them out. It makes even more clear why he was able to guess the composer style. Here's what written on the iMDB --
Christopher Willis composes the music to Disney's Mickey Mouse (2013), and co-writes the music to the Emmy Award-winning show Veep (2012). He has also (as an "additional music" composer) contributed to a number of major Hollywood movies, including The Twilight Saga: Breaking Dawn - Part 2 (2012), X-Men: First Class (2011), Winnie the Pooh (2011), Shrek Forever After (2010) and Bedtime Stories (2008). He grew up in England and was a concert pianist, musicologist and concert composer before moving to California to pursue a film music career. He read music at the University of Cambridge and studied the piano at the Royal Academy of Music. Later he returned to Cambridge to write a PhD on the music of Domenico Scarlatti. His music has been played in the BBC Proms and on BBC Radio, and he has contributed a number of articles to scholarly journals and a chapter in the book Domenico Scarlatti Adventures.