Yes, you will be able to access these archived folders from anywhere via your normal mailbox. 

This service takes inbox mails over a year and replaces the attachments with a link to the attachments. It leaves all of the mails exactly where they are now, but if the mail on your inbox is over 12 months, then the attachment will turn into a link; you will need to click the link to retrieve the attachment. 

The disk savings from this process are huge, but all attachments are still there on request.