All 3 admirals - kuzan, kizaru and akainu were portrayed as equal and Kuzan vs Akainu proved this.
Strength had no role in the promotion but the Akainu's absolute justice.
But that does not indicate it was the thing that qualified him in the first place.
Admirals are considered as strongest forces in the Navy.
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There's no "even" in the raw text she just says Admiral or Fleet Admiral