Jayson sits next to 4 phonetic neighbors — Jason, Mason, and Grayson are the closest matches by sound. Most share Jayson's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"to heal (from iasthai)"
"lion-like, brave"
"ruler of the people"
"God is gracious (via John)"
"noble bright (adal + beraht)"
"large gun, artillery piece"
"lotus flower"
"lover of horses"
"arrow maker"
"Yahweh has strengthened"
"drawn out of water"
"Brixis settlement"
"from Antwerp"
"from the roe deer land"
"bent nose"
"meadow, woodland clearing"
"male duck"
"prince's town"
"dove (short for Callum from Scottish Gaelic)"
"shallow river crossing"
"son of the lion"
Similar sound: These names share phonetic patterns with Jayson — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Jayson.
Rhythm: Jayson is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.