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"
"little Carlos; little Felix (diminutive)"
"Farm near a crossing or trap"
"from the Seneca people"
"ever, always, eternal"
"Sharp point, nail"
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.