As the person above state, if the Pusan Perimeter is able to form, the North Koreans did not have the manpower strength to properly destroy the perimeter. I would also like to add that the North Korean logistics were horrendous as well, which prevents the speedy movement of necessary supplies and reserves to the front. Had the Pusan Perimeter been broken, it would most likely have only been a small break, and the remaining US forces would have simply fallen back to several miles outside the city of Pusan (there was already a plan for this, by the time the North Koreans attacked the existing perimeter). Breaking the perimeter would merely force the North Koreans to attack a smaller, more defensible perimeter, and even cost them more men (which at this point they cant waste) and stretch their supply lines even further.
Not only that, but it must be said that Douglas MacArthur did not actually give damn about the Pusan Perimeter and was dead set on the Inchon Landings, regardless of whether or not the city of Pusan fell. And even if Pusan fell around the time that the perimeter was being attacked in otl, there is no way that North Korean troops could be deployed to Inchon in time to stop the landing, and once the Americans secured the beachhead at Inchon, North Korean troops in South Korea are forced to either retreat North or face encirclement because retaking the city is practically impossible in my opinion, due to the troop numbers used in the Inchon Landing, combined with Naval and Air support.
Once it reaches this point, the war will end in stalemate no matter what (either the US doesn't invade North Korea, or China becomes involved). The only way of securing a North Korean victory durin the initial invasion of South Korea is to have a pod that positively changes the military/political situation of the Korean Peninsula for the North Koreans sometime before the war breaks out.
Also, other 2016 discussions on the Pusan Perimeter/North Korean Victory
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https://www.alternatehistory.com/forum/threads/wi-north-korea-wins-the-korean-war.405825/
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https://www.alternatehistory.com/for...wins-korean-war-controls-all-of-korea.386410/