Eamonn sits next to 4 phonetic neighbors — Eamon, Edmund, and Aymon are the closest matches by sound. Most share Eamonn's Irish-rooted cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"wealthy protector"
"immortal"
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"handsome, beautiful"
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"possibly inspired by Zion, meaning monument or raised up"
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"modern invented name"
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Similar sound: These names share phonetic patterns with Eamonn — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Old English via Irish origins, giving them the same cultural heritage as Eamonn.
Rhythm: Eamonn is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.