Not entirely sure how that would make it easier to be honest, but yes, you can do that as well if you prefer. It doesn't matter what Battle.net accounts the WoW accounts are part of. As long as they're all WoW accounts that are not older than 30 days. Beyond that, they can only be used to send out invitations, but no longer accept them.
I'm not sure if they'll actually do this for you. I had a special situation where Blizzard made me a rather generous offer to help me out, and as a result, the game master in question was the one to set up my new accounts. After that, I had to manually link them up for the Recruit-A-Friend program in the way I described earlier.
That said though, you can indeed use something like Live Chat to talk to customer support about setting things up the way you'd like. I just don't know if they'd stick to giving advice or would actually be willing to set up your accounts for you.
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