Alix sits next to 4 phonetic neighbors — Alex, Alice, and Alyx are the closest matches by sound. Most share Alix's French-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"defender of the people"
"reunion, homeland longing"
"plaything, trinket (archaic)"
"strong in battle"
"lily, rose"
"sky, heaven"
"little beloved one"
"home ruler (short form of Henrietta)"
"of the heart (Yasin)"
"star"
"wished-for child, beloved"
"from the Tatius family"
"viburnum tree, rosy beauty"
"hazel tree or nut"
"well-born, noble"
"joyful, happy, rejoicing"
"each of the two (disputed origin)"
"suffering, enduring"
"son of Matthew, gift of God"
"dweller by the river"
Similar sound: These names share phonetic patterns with Alix — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek via French origins, giving them the same cultural heritage as Alix.
Rhythm: Alix is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.