Transferring emails from one Cox account to another Cox account

I've probably spent the past 4 hours going through this entire forum, trying to find anything that could be a useful answer to me, but in the end I can only find vague responses and possibly outdated solutions. Furthermore, in light of my experience with tech support so far, I have just a sliver of hope that things will turn out how I'd like them to.

My situation as it currently is: I have recently moved out of my parents home into my first apartment. They have been Cox customers for many years and my new home also has Cox in the area. So I too became a Cox customer and I now have my own account. For the last 8 years or so I had two personal email addresses that were created under my father's Cox account. Now that I have my own I would like to transfer those two email addresses to my own account. I'd prefer to not need to create a new Cox/email ID and keep the history I have with those two emails.

What we've done thus far: A representative I was chatting with while seeking help with turning on my internet service assured me this would be possible after my father authorizes the transfer from his end. I informed my father of this. A representative my father spoke with over the phone assured him this should be possible, however, only by transferring all the emails on his account to mine, not just the two. He was actually in preparation of closing his Cox account for a move he will be making in the future from now. My father thought this would work out fine because of this. No loss to him, right? So that call ended, and a few days later he finishes these preparations and then calls back to Cox. After being left on hold for some period of time, he gets to the last representative we had contact with. He is told something of this nature by the representative: "I'm going to attempt the transfer, but if I get an error, I'll say it's not possible and stop there." The person on the other end of the line tries and then, "Well, I hit an error. We can't do this."

I would love to know some more information about why we are seemingly unable to transfer the email accounts. And, if it actually is possible, what unholy pagan rituals must we enact to get this working. Or, within the past two years, have things changed to the point where this is just not possible to do anymore? I do know of a method to keep the emails backed up by using Outlook to download them all, and then deleting the email on my father's account. But, I still don't want to risk losing the address for unforeseeable amounts of time or risk any services I have tied to those emails be lost to me. Which brings me to this forum. As I said in the beginning, I've browsed this forum for anything that could be of use to me.

From what I've read, most answers within the past three years could probably be paraphrased as this: "Yes, it is possible. Only under the condition that the new Cox account doesn't have a primary User ID to login with yet. However, it is just easier to backup the email history with software such as Outlook or Thunderbird and then delete the email from the first Cox account. In this case, all contacts and emails would be erased. From there, after at least 24 hours, on the second Cox account, you create the login using the User ID which should be by now released."

I just want some clarification on the subject dated here in 2017. A checkpoint for technical support if anybody in the future has the same issues as I am having since it would seem my experience differs from those in the past. Also, call me stubborn, but, if it's possible could we please rule out deleting the address?