We are not talking about associating Timeouts/Bans with a chat message, but associating them with their PubSub message.
For example:
@ban-duration=1;ban-reason=;id=abc :tmi.twitch.tv CLEARCHAT #tduvatest :tirean
{"type":"MESSAGE","data":{"topic":"chat_moderator_actions.41140058","message":"{\"data\":{\"type\":\"chat_login_moderation\",\"moderation_action\":\"timeout\",\"args\":[\"tirean\",\"1\"],\"created_by\":\"tduva\",\"id\":\"abc\"}}"}}
Using that id, it would be possible to know which CLEARCHAT belongs to which PubSub Moderator Action (without having to guess based on the command and parameters), so that messages can be displayed more compact, for example:
Tirean: <message deleted> (1s) (by tduva)
Instead of two separate messages:
Tirean: <message deleted> (1s)
tduva timed out tirean for 1 seconds.
This also applies to other messages, for example:
Exited host mode. (by tduva)
Exited host mode.
tduva used unhost
Since both the chat message (CLEARCHAT, NOTICE) and the PubSub Moderation Action originate from the same command that a mod typed in, there is a clear relationship that could be expressed by an id.