It isn't really a cPanel issue as much as a problem with your hosting provider and the way they have their server configured.
It actually IS a cPanel-problem. I switched the dedicated server i and some other wx-sites use to cPanel some weeks ago and with default settings in cPanel, it and wx-softwares sucks together, expecially if use many softwares like i (and the other sites on same server) do.
Main issue are that cPanel's default value of allowed connections from same IP are by FAR too low for multiple wx-softwares + some other connections from same ip. I had almost to double it if i remember correct before things calmed down.
It is also damn easy to block out users if use CSF firewall with cPanel on the server.
So the settings needs tweaking / whitelisting of wx-server if want to be sure.
Else than that cPanel are great