Wain sits next to 4 phonetic neighbors — Wayne, Wane, and Rain are the closest matches by sound. Most share Wain's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"wagon, cart, farm vehicle"
"Settlement by the trap or ford"
"from the Seneca people"
"little Carlos; little Felix (diminutive)"
"Sharp point, nail"
"son of eternity"
Similar sound: These names share phonetic patterns with Wain — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English origins, giving them the same cultural heritage as Wain.
Rhythm: Wain is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.