Show: All formats Perfect Circle Edison
Sending all cards on the field and in both players’ hands to the Graveyard and drawing one card are resolved as part of the same Chain Link, and are considered to occur simultaneously (even though the card is drawn after sending cards to the Graveyard). So a card like “Peten the Dark Clown” would not miss the timing even though a card is drawn.
The only way you can Special Summon this card is via its own procedure. Even if it was initially summoned that way, you still can't summon it with card effects.