If I reply to someone and that someone, or someone who is part of that branch of the conversation above me replies to my reply, I should see that notification.

The criterion which is used by this relay seems like it would lead to missing many important notifications.

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Why wouldn't you see it? If they tag they will publish to your inbox relay.

If that user which I replied to isn't in my network and this relay is my only read relay, won't the notification be ignored?