The new system is REALY, REALLY bad. I have 5 Cox email accounts. Now I have to log into each one separately. Also, I have to open each email before I can delete it. No select all option. This is STO...
Not sure if it works with the new UI, but try clicking on the gear and then going to all settings. As per picture here, there should be a option to link external account. I think it is designed for Non cox email but I don't see why it can't sync a Cox account through IMAP.
Is it possible to read my Cox email with another email client and completely bypass the Cox system
Yes. Use a email client like Outlook or Thunderbird. See here for server settings. You could also transfer your email to a different provider like Gmail/Yahoo/Proton if you want to completely remove Cox from the email equation. You could even have both Cox email and Gmail and load Cox as a external account so you can check everything from one website. You have lots of options. Let me know which way you are leaning and I can give more specific instructions.
I have clicked the gear and I see all of my accounts (all Cox accounts) but it only logs me in to one at a time. I have confirmed wlth Cox support that each account requires separate login.
I use Outlook to read my mail, but it goes thru the Cox system first. Cox puts some of my good mail into the Spam folder, so I have to login to Webmail every day to check the Spam. I have not found a way to completely bypass Cos using a Cox email address.