Comments can currently only be used with nodes, and they really should be able to be added to any entity type.
It seems like this could be done by making comments a field that is added to an entity or just providing an admin interface where you select which entities that comments should be able to be attached to. The latter might be easier to implement with the current architecture, and from a data perspective we'd just need to add an entity_type field to the comment table (and rename nid to entity_id).
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Worth mentioning as it was in zulip chat by @yorkshirepudding I just tested and the two work together without issue as long as you don't use the "Exclude comments from Content...
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There is also Node Comments Search - this searches the node and all comments (default search is node and first page of comments) as part of the content search. Izzy's module above is a separate...
Search does not include comments
I have created a new module comment_search
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