Oz sits next to 4 phonetic neighbors — Os, Ozzie, and Ezra are the closest matches by sound. Most share Oz's Hebrew-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"strength, power, courage"
"money, currency"
"elm grove"
"one who throws, thrower"
"hidden store, treasure"
"connected to healing arts"
"God is salvation (via Joshua/Hebrew connection)"
"from Arcy, Norman town"
"from the sheep settlement, from Skipton"
"visionary dreamer"
"slender, narrow"
"one who lisps or stammers"
"dealer, trader"
"legendary warrior (fictional)"
"my vision, my sight"
"wagon driver, cart maker (from Old English Wayne)"
"all-knowing, wise"
"little fire (interpretive)"
"my God is the Lord"
"free man"
Similar sound: These names share phonetic patterns with Oz — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Hebrew origins, giving them the same cultural heritage as Oz.
Rhythm: Oz is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.