Lyam sits next to 3 phonetic neighbors — Liam, William, and Lyom are the closest matches by sound. Most share Lyam's Irish-rooted cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"resolute protector, strong-willed warrior"
"will, desire, helmet"
"peace, gentleness"
"one who lives in a valley"
"one who thatches roofs"
"Gomeric's mountain, power mountain"
"case, container (via Old French)"
"from the fen, marshland dweller"
"his excellence, his preeminence"
"noble and famous"
"free man"
"genuine, real, authentic"
"of the raven, raven-like"
"brave in battle"
"fine, elegant"
"wise, judicious"
"hill, high ground"
"ancient, enduring"
"wealthy guardian"
Similar sound: These names share phonetic patterns with Lyam — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Germanic via Irish origins, giving them the same cultural heritage as Lyam.
Rhythm: Lyam is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.