Here's why:
* Secutor's effect states: "If this card is Normal or Special Summoned by a Gladiator Beast monster: You can Special Summon 2 Gladiator Beast monsters from your hand, Deck, or Graveyard."
* Key Phrase: "If this card is Normal or Special Summoned by a Gladiator Beast monster".
* Requirement: This effect is activated only if Secutor was specifically summoned by another Gladiator Beast monster.
Therefore, if Secutor was not summoned by a Gladiator Beast monster, he cannot use this effect to summon two other Gladiator Beast monsters.