It's perhaps of note the overall sound of this song (tempo, rhythm, key, etc. _ I don't know the correct terminology!) is more angry than sad. Relationships can go through lots of different cycles and I can certainly imagine being pissed off rather than sad in this kind of situation when there's a ton of water under the bridge.
I always thought Loudest Sound was mutual, whereas Disintegration and Cut both have someone looking to leave.
I think there are some thematic similarities between Cut and The Loudest Sound, but I actually think of TLS as being a bit more wistful about growing old together and finding habitual, comfortable silence. I can only imagine the intensity of doing so with someone you've been with since 14! By the time you'd been together a decade, you only be 24! Save