Can you use search effects and not select a card?

If a card with a search effect is played, you have the option of:

-Searching your deck and taking an eligible card and revealing it, then shuffle your deck.

-Searching your deck, and NOT taking any card (even if there is eligible cards) then shuffle your deck.

-Not using the ability at all. Not shuffling your deck.

These are available for all of the following cards that allow you to search:

Pelpe Derdae (Hangar)

Telraga Usama (Crew)

Alligator Johnson (Level 1 Armor)

Shadow Recruiter (Crew)

Luxury Hangar (Expert Pilot)

PICK ability (selected armors)

Trinidad Lasersaw (Action)

Smilion Critical (Starter Pilot)