I agree with the speaker. "Hate speech" is contradictory to "freedom of speech"; the former being a subcategory of the all-encompassing latter. I think people should be allowed to express themselves freely as pointed out at the beginning, in the appropriate forum.
To really get nit-picky about it, People who express their hatred and intolerance of "hate speech" are guilty of the same.
“When bad men combine, the good must associate; else they will fall, one by one, an unpitied sacrifice in a contemptible struggle.” Edumnd Burke