Shaul sits next to 3 phonetic neighbors — Saul, Shawn, and Paul are the closest matches by sound. Most share Shaul's biblical cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"one who is inquired after"
"heart (alternate Russian meaning)"
"God has given me a precious gift"
"compassionate one"
"God is gracious"
"fire of God, light of God"
"my God is majesty, God is splendor"
"strengthened by God"
"humble, meek"
"young man"
"God has seen my affliction"
"strong oaks, terebinths"
"descendant of Aaron, priestly lineage"
"wisdom, scientific wonder (modern cultural meaning)"
"he gave"
"God's precious gift"
"helped by God, God has supported"
"my wrestling, struggle"
Similar sound: These names share phonetic patterns with Shaul — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Hebrew origins, giving them the same cultural heritage as Shaul.
Rhythm: Shaul is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.