Well this comes as much as a surprise as it doesn't, Bozai has specialized dialogue for when he can't give you snow boots due to full armor inventory : r/Breath_of_the_Wild
The Legend Of Zelda: Breath Of The Wild's Best Sidequests And Bonus Content - Game Informer
Zelda Breath of the Wild - How to Get Sand Boots & Snow Boots - YouTube
Zelda: Breath of the Wild guide: The Forgotten Sword side quest walkthrough (How to get the snow boots) - Polygon
BOTW Fashion
Snow Boots - Zelda Wiki
How to Get the Snow Boots | Hyrule Warriors: Age of Calamity|Game8
Zelda BoTW Eighth Heroine & Forgotten Sword Side Quests
How to get Sand Boots & Snow Boots - The Legend of Zelda: Breath of the Wild - YouTube
HOW TO GET SAND BOOTS and SNOW BOOTS STEP BY STEP - Zelda: BotW - YouTube
Snow Boots Armor Guide [The Legend of Zelda: Breath of the Wild] - SAMURAI GAMERS
Snowquill Tunic - The Legend of Zelda: Breath of the Wild Wiki Guide - IGN
Zelda: Breath of the Wild guide: The Eighth Heroine location and how to get sand boots - Polygon
The Winter Set [The Legend of Zelda: Breath of the Wild (WiiU)] [Mods]
His stance says Sand Boots, but his eyes say 'Gimmie Snow Boots' : r/Breath_of_the_Wild