I strongly support your approach.
I want MailBox count to show messages that I haven't dealt with. Otherwise, I have to remember how many messages are in my kept mailbox in order to know whether anybody's written to me. Ugh.
So I agree with you. Totally.
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The cheaper the paper, the more important the information. Peter Lynch.
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Price is a crazy and incalculable thing, while Value is an intrinsic and indestructible thing. G.K. Chesterton