Those are typical and standard ports (well, TCP 465 is deprecated), and that's a fairly typical server settings declaration. Configure the ports and the servers, and you'll be fine.
FWIW, if I were manually configuring ports, I might well try TCP 587 in preference to 465, as the Google gmail and Google Apps support pages list that. Why use TCP 587? Quoth Wikipedia: "Server administrators choose whether clients use TCP port 25 (SMTP) or port 587 (Submission), as formalized in RFC 6409 (previously RFC 2476), for relaying outbound mail to a mail server. The specifications and many servers support both. Although some servers support port 465 for legacy secure SMTP in violation of the specifications, it is preferable to use standard ports and standard ESMTP commands... according to RFC 3207 if a secure session needs to be used between the client and the server." Put another way, if given a choice of some combination of TCP 25, TCP 465 and TCP 587 for submissions, use TCP 587.
It's quite common to have different server settings from email settings after all, and this is is what I infer that "issue" sentence is attempting to communicate.
It's also unfortunately common to have IT support folks posting correct (albeit confusing) statements on their various web sites.
😉