Yes, I’m sure. I just tested it a moment ago. If you complete a precedent task and the dependent task is assigned to you, no notification. If you complete a precedent task and the dependent task is assigned to someone else, they will get a notification. This renders the feature unusable for oneself alone.
I pointed this out 1.5 years ago but no response:
The documentation at https://asana.com/guide/help/tasks/dependencies doesn’t mention that no notification is generated. I imagine this is not seen by Asana as a bug but rather an attempt to not bother you with a notification for an action that you yourself did. But in this case, it’s actually unhelpful to stifle this notification of a dependent task now being unblocked. That’s different from stifling a notification to yourself when you marked your own task complete, for example; that’s a good reason to stifle a notification.
I hope Asana will consider no longer stifling these notifications (and leave the documentation as is since then it doesn’t need change).
Larry