I don't remember if this was an issue at DH or not, but you might even have to remove addresses here, if you're using a form on your site to send mail.
I know some hosts will capture it with their servers regardless of what your settings are, if you're sending it from their servers.
Like I said, I don't remember if that's the case here or not, but I know I had to with other hosts. Just something to keep in mind if you find that form mail goes to your old account, while mail sent by humans goes where you want it to go.
Save up to $96 at Dreamhost with ALMOST97 promo code (I get $1).
Or save $97 with THEFULL97.