Conny sits next to 3 phonetic neighbors — Connie, Bonnie, and Lonnie are the closest matches by sound. Most share Conny's German-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"steadfast, constant"
"noble, of noble birth"
"beautiful bird; from the Irish eilean"
"New beginning"
"from Corinth"
"divine, of the gods"
"gift of God"
"dawn, first light of day"
"gift of God"
"little orca, little whale"
"little rush, little reed (from the leaf shape)"
Similar sound: These names share phonetic patterns with Conny — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Latin origins, giving them the same cultural heritage as Conny.
Rhythm: Conny is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.