Stephen, blindly forwarding emails from one service to another has been a discussion here in the forums for probably 10+ years. Yes, forwarding emails is legitimate, but then you are likely forwarding all of the spam and other junk along with it. That is what creates problems. If you look back through the forums people here have tried to block clients blindly sending everything to gmail, to AOL, to hotmail and others - because they are also forwarding all of the spam with it. So if a client is sending all of their email from you over to gmail, gmail gets it and then see the amount of spam sent and then just blacklists your IP address.
It is up to you to train and teach your clients why it is a bad idea and to help them develop good practices to protect your server. They ware using your services, much like gmail, you set the rules of using your servers.
Besides. There is another problem with blindly forwarding an entire inbox off to something like gmail or wherever - which is account ownership. If a person as part of a clients email domain starts sending all of their info off to their personal gmail (aol, hotmail) account, but the account is in the name of the person, not the domain client, then the domain client no longer has ownership over the data in the mailbox. If a staffer is forward everything to another service, and they are terminated from employment, then your client may have to go to court to get their email back from the staffer.
What Zach had brought up above is not "forwarding" but instead "gathering" Meaning AFTER it has gone through spam filters, you reach into a mailbox and extract the email to another location. This way you can synchronize multiple mailboxes to a single mailbox.
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