In gmail, if I have two accounts does it show same address for both, if I send an e-mail?

I have two gmail accounts, one of which I designed specifically for the purpose of hiding my identity. Since I don't get e-mails to that account often, I redirected it to my main account. Now I just noticed that in e-mails sent from this account it says next to my nickname that e-mail was sent from the main account. Also in account options there is no option to set what name is used in e-mails (it should just use a nickname in this account instead of my real name as in the other account). I noticed that there is option to show original for the email, which shows some technical info by winch it seems that my name and real e-mail still might be hidden i.e.:

Sender: myrealname@gmail.com

X-Google-Sender-Delegation: myrealname@gmail.com

Delivered-To: myotheraccount@gmail.com

From: My nickname <myotheraccount@gmail.com>

So I suppose the receiver sees only the "from" part, my question is am I right?