(Yu-Gi-Oh!) Drill Warrior effect mechanics?

I was reading Drill Warrior's effect a few minutes ago, and I noticed that when he Special Summons himself, the effect to add a monster card to your hand is mandatory. Also, the Wikia says that the effect to Special Summon himself and add a Monster Card to your hand are both part of the same effect. Does that mean that if there are no Monster Cards in my Graveyard to add to my hand, Drill Warrior cannot Special Summon himself back from RFG?

Card lore:

"Drill Synchron" + 1 or more non-Tuner monsters.

Once per turn, during your Main Phase, you can halve this card's ATK (permanently). If you do, it can attack your opponent directly this turn. Once per turn, during your Main Phase, you can discard 1 card and remove this card from play. During your next Standby Phase, Special Summon this card, if removed by this effect. Then, add 1 Monster Card from your Graveyard to your hand.

Relevant ruling:

Adding 1 monster in the Graveyard to your hand is part of the Trigger Effect that Special Summons “Drill Warrior” during your Standby Phase.