Hayze sits next to 4 phonetic neighbors — Haze, Hayes, and Hazel are the closest matches by sound. Most share Hayze's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"from the hazel trees"
"the immortal self"
"warrior, strong one"
"God has helped"
"chief, brave man"
"eagle friend"
"friend, ally"
"king, royal"
"narrow strait, slender (via Kyle)"
"God will save"
"page boy, herald"
"invented blend of Bray and Lynn"
"variant of Drew, meaning manly/strong"
"of the Vandal people"
"God is my strength"
"passionate, ardent"
"modern invented elaboration of Ezra"
"eighth-born"
"of the birds, bird-like"
"brave people, bold folk"
Similar sound: These names share phonetic patterns with Hayze — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have English origins, giving them the same cultural heritage as Hayze.
Rhythm: Hayze is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.