Saul sits next to 4 phonetic neighbors — Paul, Sol, and Carl are the closest matches by sound. Most share Saul's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"asked for, prayed for"
"of the forest; woodland"
"man, the light"
"little warrior, young Mars"
"Frenchman"
"warrior"
"nobleman, duke"
"of the bean growers (Fabii clan)"
"twin"
"ray of light, bright counsel"
"narrow strait, channel"
"exalted father"
"abundant, bountiful"
"modern coined name, son of Bray"
"record keeper"
"man, human being"
"possibly from a- (not) + treo (tremble)"
"chief, leader"
"passionate, fiery one"
"he who holds firm the good"
Similar sound: These names share phonetic patterns with Saul — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Hebrew Sha'ul (שָׁאוּל) origins, giving them the same cultural heritage as Saul.
Rhythm: Saul is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.