Does automatic e-mail forwarding count on daily outgoing mail quota?

Does automatic e-mail forwarding count on daily outgoing mail quota?

Hi,

I have setup one of my account to direct all e-mail to a different e-mail address, but I know the free package comes with a daily 250 outgoing e-mail limit.

I was wondering if this also counts for all e-mail that is forwarded to the address that I had setup on the account settings?

Thanks.

Eric