What’s the point? Nothing forbids you to make a new Gmail account, send an invitation to it from your main and make a new Alpha account. Then keep playing on your Omega and train the Alpha as a side.
In addition, if you ever decide to upgrade the Alpha to Omega, you will:
- Receive a free month of sub on the original Omega; and
- You can play on both at the same time, which you can’t do if they’re both on the same account.