Illusory Wrappings overwrites all previous effects that set the creature's base power and toughness to specific values, including those that define a * such as that of Enigma Drake. Any power- or toughness-setting effects that start to apply to a creature after Illusory Wrappings becomes attached to it will overwrite this effect.

Any power- or toughness-modifying effects (those that give +N/+N, for example) and counters will apply to the creature's new base power and toughness, even if they started to apply before Illusory Wrappings became attached.