We don't care if our chat is search-indexed; it's mostly internal; there are client channels, specific topic channels. At least for our case being OUT OF SEARCH is better. However, we do use the conversation as seeds for our help-docs, blog post, etc, etc.
Perhaps Linen could be the winner by putting Slack+Discord+Mattermost+Matrix+ActivityPub in to a better search-index.
Anyone remember MARC? -- https://marc.info/