Lynx sits next to 4 phonetic neighbors — Rex, Knox, and Jax are the closest matches by sound. Most share Lynx's English-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"the shining one"
"champion, famous one"
"creative spelling of Rustin"
"Lord, have mercy (liturgical)"
"son of Hendry (Henry)"
"Romantically associated with the poet Lord Byron meaning noble and ..."
"divine power, God's rule"
"muddy farm or settlement"
"Lukes town"
"God has given"
"modern invented name with sun/strength connotations"
"champion (from Old Irish Niall)"
"Great, magnificent, venerable"
"star"
"shrine maiden (ceremonial)"
"lord, elder"
"Yahweh has given"
"battlefield (poetic extension)"
"white field, white acre"
"concluding musical passage"
"generous, tolerant"
Similar sound: These names share phonetic patterns with Lynx — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Greek origins, giving them the same cultural heritage as Lynx.
Rhythm: Lynx is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.