Mail is getting mail from inactive account

Question

In Mountain Lion's mail app, I had an old POP account that I wanted to keep in my list for easy access to old messages.  (I had switched to IMAP for the same account since, which means a separate account for that, but that's another beef entirely!).
The preferences for the old account, before and since Mavericks, have the "include when automatically checking for new messages" box UNchecked.  It worked in Mountain Lion.  In Mavericks, as soon as I open Mail it immediately starts getting messages from the old account.
Apart from de-"enabling" the account, making it disappear, I can't stop the new Mail from getting messages even though the preferences tell it not to.. Help please?

Answer 1

Csound1, the problem is with active accounts.  Rex's explaination is exactly how many of us used the "automatically check" box ... that does not function with Maverick's mail.  Basically, I have multiple POP accounts being pulled into a single IMAP account (because POP email accounts don't sync between devices).  I need to list the IMAP account and POP accounts to be able to send mail from the appropriate account.  Since Mavericks, now all the POP accounts with the "automatic check" box UNchecked since pull in all messages - which doubles messages in my inbox.  Since I use the POP accounts to send messages from, they need to be listed and active accounts.
Does anyone know of any other way to set-up a (POP) email account to SEND only????
BTW - Apple Engineers are "working" on this issue (Case #527095631).  Had a few conversations with them this past week and they've taken a couple scans of my mail.  Since this is an ongoing issue, hopefully they'll respond this time.