At this point I am thinking my Thunderbird should probably just unify the Inbox view and the Task view, since it would be a more accurate representation of how I view email.
For you: important things become tasks, useful things are filed, and everything else gets trashed.
For me: important things get opened and replied to. Useful things are starred (and opened). Everything else stays untouched.
And that pesky unread number is irrelevant because I mute all notifications. I'm not discounting your method, I am just now realizing the circle of it all.
I practice inbox zero also, the value for me is knowing that if it's in my inbox it's because it requires actioning, if it's not it's ignored (deleted or archived).
I also just generally like deleting things as much as possible, I don't like the cruft. If I have to search through old emails I don't have to filter by stars or anything like that, I like knowing that if it exists it's because it's important.
I've skimmed maybe 50% of them, but not enough to consider them "read". It's 99% bullshit. Even legitimate email is spam these days.
I'm too busy with other fake work to need to additional fake work managing pointless email comms.