Correct. MS Outlook Express, when you sat up a POP account, it defaulted to remove the copy of the e-mail from the server, each time you successfully cued the mail download from the server. So if you deleted it from your Inbox and then deleted it from "Deleted Items" it was gone for good. The Deleted Items folder acted as a check before permanently deleting e-mail that might be important. If you accidentally deleted e-mail from the Inbox, you could still recover it from the Delete Items. But, as I said, if I changed e-mail carriers and/or e-mail addresses, all my old mail stayed in the Inbox and other folders until I deleted it, and Deleted Items were 'Emptied'.
New MS Windows Live Mail, by default, even with POP accounts, leaves a copy of the mail out on the server, even though it is downloaded to the Inbox. This was mainly to accommodate smart phone and tablet users. However, if you delete that mail account off MS Windows Live Mail, it wipes all folders & sub-folder under that account out as well, and you can't get the mail that was in those folders back, even if you set the account back up exactly as you had it, all past mail is lost. I don't care for that feature. IMAP seems to have the edge over the POP account in that area.
Thanks again for the help.