Appearance & Personality
He takes his job very seriously and is suspicious of the monster researcher and owner of the Fang and Bone shop Kilton whom he and stable workers consider a shady character when in reality Kilton is just an eccentric and harmless fellow who researches monsters.
Related Side Quest
After obtaining the Camera Rune, Link can talk to Hoz which leads to the Side Quest "A Shady Customer", in which Hoz asks Link to investigate Kilton. Link must take a picture of Kilton and show it to Hoz who rewards Link with a Silver Rupee.
Hylian Soldier descendant?
As Hoz works as a soldier for hire who lives in Akkala, it is possible he is a descendant of one of the Hylian Soldiers who fought defending the Akkala Citadel as he is too young to have lived during the Great Calamity or been alive when the battle of the Akkala Citadel took place. Presumably the helmet he wears and spear he wields may have been owned by his ancestor and Hoz chooses to follow the same career path by working as a solider for hire, leading to him being employed by the East Akkala Stable due to the monsters and suspicious characters like Kilton. Alternatively, he may simply be a Hylian inspired by tales of the soldier's valiant defense of the Akkala Citadel and decided to become a soldier to protect others. If true presumably he either purchased (from a shop like Ventest Clothing Boutique) or obtained the Soldier Helm which according to their description the only helms that remain are the ones left behind by fallen soldiers, thus he may have come across it in Akkala Highlands area near the Akkala Citadel Ruins.