If another player gains control of Hoarding Broodlord, it's still you who can look at and play the exiled card
7 Swamp
You've locked those cards away in some ersatz elevator, preventing them from getting out

$0.79 Wall of Omens (0027 - The Imperial City of Archades) Final Fantasy Through the Ages $2.99 Danitha Capashen, Paragon (0022 - Squall Leonhart) Final Fantasy Through the Ages $8.99 Stroke of Midnight (0026 - Memories of Nibelheim) Final Fantasy Through the Ages $3.99 Farseek (0045 - Newfound Adventure) Final Fantasy Through the Ages $13.99 Mizzix's Mastery (0041 - Dawn Warriors' Legacy) Final Fantasy Through the Ages $1.99 Laboratory Maniac (0030 - Vana'diel Adventurers) Final Fantasy Through the Ages $2.49 Deadly Dispute (0033 - Baron Rivalry) Final Fantasy Through the Ages $3.49 Lightning Bolt (0040 - Thrum of the Vestige) Final Fantasy Through the Ages $2.99 Fatal Push (0009 - Battle at the Big Bridge) Final Fantasy Through the Ages $14.99 Teferi, Mage of Zhalfir (0032 - Edea Kramer) Final Fantasy Through the Ages $5.99 Counterspell (0004 - Wild Rose Rebellion) Final Fantasy Through the Ages $3.99 Preordain (Prophetic Beginning - Store Championship) Promotional 0 results found

While the Box Topper version of Gala Greeters changes from region to region, the non-foil booster version of the card has a different but universal illustration that will remain the same in every language
Between enter the battlefield effects, triggered abilities, and other synergies, it's often the case that playing a creature provides an opponent with much more value than just the creature's board presence