떠들다 is loud talking, and the manner word decides whether that is a good thing. With 재밌게, 신나게, 시끌벅적하게 it is a happy natter: 너무 신나게 떠든 것 같아요, 시끌벅적하게 떠들다 보니까 벌써 마칠 시간입니다 'chattering away, and already it's time to finish.' Scolding, it is noise: 왜 이렇게 떠들어요? Half these lines pair it with 제끼다 — 떠들어제껴볼게요 — a presenter's catchphrase for settling in to a good long chat.