In my experience Closed Captions almost always describe sounds, specially if they happen offscreen or things like the type of background music; Subtitles don't, I assume they expect you can hear the sounds.
As a non-native English speaker who can hear I often see movies and shows with English audio and English closed captions, the redundancy helps me. It happens all the time that the CC tell things that you just can’t hear in the movie.
Many—though not as many as it should be—(English-language) movies explicitly include two English-language subtitles, "English" and "English SDH", standing for "English (subtitled for the deaf and hard-of-hearing)". The latter includes subtitling for sounds.
I love it. I can half watch the show while fussing without missing anything. Even when the show has my complete attention, the added detail is kinda great. Not all the time, but enough to keep things interesting.
https://help.pbs.org/support/solutions/articles/5000673860-a...
Felt like a fool when I realized it was really super caption for the visually impaired.