Aries had promised to put the things in the past into the past where they belong. She promised she would move forward, holding Abel's hand, and cherish the people who love and value her the same way she does. It was not like she wanted to forget Aries Aime Heathcliffe. Aries would always be thankful and proud for that young Aries, who didn't give up until she got the peace she deserved.
However, that doesn't necessarily mean she wouldn't deal with the past if they came to the present. Just like Agnes, Aries didn't hate her. If she did, she would've ruthlessly killed her instead of taking everything from the princess.