It totally depends on the nature of the "controversial matter".
Some would argue that a show about evolution was controversial. Their opposites would cringe at the idea of showing kids stories a bout "God" and presenting him as actually existing. Others would object to shows about drug use, or sex, or *gasp* homosexuality.
Basically, I think all subjects are valid but if they're going to be screened when kids are watching they need to be done with the age, and the suggestibility of the audience in mind.