Because the Admirals are soldiers in the service of the Government. They are dispatched on missions that will take them to various locations, so they are more likely to come across the Straw Hats who are still relatively green. Meanwhile, the Yonko primarily reside in the New World, and due to their deadlock, rarely have the opportunity to venture far outside of it. It's up to the Straw Hats to come to them, but by the time they do, they are ready for them, unlike the Admirals who caught the crew wholefully unprepared.
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, Oda already showed a huge gap between admirals and yankers when akainu without awakening and haki mid diffed wb.


