Bruce sits next to 3 phonetic neighbors — Bryce, Brice, and Drew are the closest matches by sound. Most share Bruce's Scottish cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"from the brushwood thicket"
"father of height"
"son of Jack"
"battle, warrior spirit"
"gentle, loyal one"
"steadfast defender"
"selected, set apart, elected"
"rest, repose"
"man of peace"
"ruler of the world"
"merciful, gentle"
"son of Benedict/Benjamin"
"to live, to dwell"
"ruler's counsel"
"divine healer"
"king, ruler, monarch"
"little star"
"increase, growth"
"son of the lion"
"son of the red-haired one"
"good, blessing"
Similar sound: These names share phonetic patterns with Bruce — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Norman French origins, giving them the same cultural heritage as Bruce.
Rhythm: Bruce is a 1-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.