Corsair absolutely DID do well, and you could well be correct. I would hazard that the Corsairs that were doing so well were also flown largely by combat veterans who, and this is the important part, had experience both in the Pacific and also against the IJN Zeros and pilots, even the good ones, as their average pilot ability was slowly degrading over time due to abbrviated training and inability to sortie as many comnbat veterans as they would have liked.
So initially, the Fw 190, if flown by people new to the Pacific and new to Japanese oppostion, might not have a great ride, but the Fw 190 was a first-class fighter by all accounts, and it's success in the end could probably be anticipated in any what-if, once the pilots were accustomed to the Pacific. That assumes the Fw 190 would be sortied versus the Zero.
In the real world, the Fw 190, had it showed up, would have showed up on the Japanese side and would be flown against the Allies. Now THAT could have been interesting, particularly if flown by or had some significant partication by experience Luftwaffe veterans. I have bever seen a discussion of whether or not the tactics used by the Allied pilots in the Pacific were materially different from the tactics used in the ETO. Most of the discussions I have read have concentrated on the differences in tactics between the Germans and Japanese pilots.
That could be another good what-if. Suppose a reasonable contingent of Luftwaffe veterans did not want to surrender, and decided to go fly with the Japanese ... had the Fw 190s ans spares to DO it. But I won't suggest we pursue that because most of the great Luftwaffe aces were, first and foremost, German patriots, and wanted the war to end as badly as we did. They largely wanted to go home, rebuild, and get on with life, not continue the fighting at all costs. Although most, if not all, of the Luftwaffe aces were members of the National Socialist Party, a large portion were not really "into" it and joined out of political necessity, not out of a desire to blindly follow Hitler. They were fighting for Germany, and wanted to end the poverty caused directly by the treaty of Versailles and resume normal life. Without wanting to go political, I was just pointing out that I doubt you could get a large contingent of them to willingly uproot and go fight in the Pacific when Germany was falling. Their wives and families were in Germany, not half a world away. So it is a doubtful option to pursue with any sense that it might have been able to happen.