Cases don't lose their other abilities when they become solved
However, its important not to have the conversation within the framework of all formats, or all formats where the respective cards have appeared, but within the present Modern card pool I would argue that Faithless Looting is the better of the two Where does Frantic Search shine
We expect all of these cards to be valuable, but since they are polluting the list, we will gather them here together
The differences between the three are cosmetic Beta has slightly sharper corners than Alpha, and Unlimited introduced the white-borders, now synonymous with core set reprints
Happy days
Todd Lockwoods art is drop-dead gorgeous, Niv-Mizzet is a fun (or broken) commander, and Niv-Mizzet is one of the coolest dragons in Magic lore