They're different cards, new Liliana slots into more midrange-y grindy decks. That +1 should not be underestimated, especially not after Jace VP's reign in Standard. It was very relevant shrinking dudes when it came to combat math and this -2/-1 lets her snipe down small things as well. Cube-wise, I like this new Liliana if you're trying to incorporate more graveyard centric strategies with self-mill and stuff. She allows you to essentially "draw" a creature card and keeps the gas coming if you continue to trade guys in combat. I like for GBx midrangey decks with efficient creatures to apply pressure and slowly grind your opponent down.
Sadly, I don't think I can find a home for her in my cube with Lily of the Veil, Heretical Healer, and Ob Nix taking up 2.5 black walker spots, few graveyard synergies, and I don't want to run 3 different Lilys. She is a sweet card though, I really like her. Also best Lily PW art by far.