TCG Rulings

• “Bottomless Trap Hole” cannot be used in response to “Trojan Gladiator Beast” as it misses the timing, since the last thing that happened was that the player drew a card.^[1]

OCG Rulings

• This effect does not target.^[2]

• With "Trojan Gladiator Beast", you Special Summon the "Gladiator Beast" monster, and then you draw 1 card. You do not do the two simultaneously. Because of this, "Bottomless Trap Hole" etc cannot be activated in response to the Special Summon.^[3]

References

1. ↑ Konami Gameplay FAQ: Crimson Crisis -- Card Rulings (version 2.0)
2. ↑ Konami FAQ: Trap Card > Trojan Gladiator Beast
3. ↑ Konami FAQ: Can "Bottomless Trap Hole" be activated when a monster is Special Summoned by the effect of "Trojan Gladiator Beast"?