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It's not capable of guaranteeing complete synchronisation of things. I'm even working on (in my part time) a filter plugin that quickly recognises whether a reply post references a whitelisted identity, by building filters out of posts made by the user - for the purpose of caching first level replies to posts so the relay has it immediately. I'm going to be using bloom filters to build a recogniser, not sure how the state is going to be stored but probably replaceable private events for the filter itself as a virtual user.
just forgot my second point: compact, addressable merkle trees let you guarantee full set membership discovery, assuming that the user didn't post them to a relay not known by the one trying to find it. But it can know the ID, and it can know the set of a given batch of them that have been bundled into a tree.