You're correct, I want to file something to "All Mail" because that replicates the archive functionality when using an IMAP client with Gmail.
Feel free to check out the following:
https://support.google.com/mail/answer/77657?hl=en
Removing the file from Inbox (via delete or move) will remove the Inbox label.
I totally get how the Gmail app works. I don't think you get how the apps which use IMAP to connect to Gmail work.
The whole point is that there are plenty of other mail applications that properly handle this scenario (many even have a handy Archive button so you don't need to file and pick a folder). The whole purpose being that you use one app/interface to manage all your email. Hey, sounds just like the BB10 Hub.
The only difference is that Hub can't handle this situation without workarounds and excuses.
Seriously, do you think this is going to fly with users once the BB Experience Suite gets released for Android and iOS? I can see the reviews now "For a company that prides itself on managing email, this Hub app is junk. No wonder BlackBerry is a failing company."