Loys sits next to 3 phonetic neighbors — Lois, Louis, and Lola are the closest matches by sound. Most share Loys's French-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"more desirable, better"
"from the kingdom of Lothar, from the Lorraine region"
"from the land of the Franks, France"
"famous, renowned"
"Supplanter"
"One who tends or holds; occupational name related to tenner"
"alder tree, from the alder grove"
Similar sound: These names share phonetic patterns with Loys — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Loys.
Rhythm: Loys is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.