It doesn't copy whether that permanent is tapped or untapped, whether it has any counters on it or Auras or Equipment attached to it, or any non-copy effects that have changed its power, toughness, types, color, and so on
(Choose any number of permanents and/or players, then give each another counter of each kind already there.) Pay 1 life, Sacrifice another creature: Put a -1/-1 counter on up to one target creature and draw a card
Vanadiel Adventurers Laboratory Maniac at uncommon means you can actually get multiples sometimes, so there could be self-mill decks that try to win with this, Town Greeter, and Fight On
For collectors aiming for full completion, this undermines the entire purpose of the new booster