Overlord of the Floodpits

If an object enters as a copy of a permanent that was cast with its impending cost, it won't enter with time counters, and it will be a creature.

"Impending N–[cost]" is a keyword that represents multiple abilities. The official rules are as follows: (a) You may choose to pay [cost] rather than pay this spell's mana cost. (b) If you chose to pay this spell's impending cost, it enters the battlefield with N time counters on it. (c) As long as this permanent has a time counter on it, if it was cast for its impending cost, it's not a creature. (d) At the beginning of your end step, if this permanent was cast for its impending cost, remove a time counter from it.

If you choose to pay the impending cost rather than the mana cost, you're still casting the spell. It goes on the stack and can be responded to, countered, and so on.