I read the story about Bob Hall checking out the FW-190 and making that remark.
Sure, "put an R-2800 on this and we'll have a world beater" could, if you really want it to, mean that the F8F is based on a 190. Most Focke-Wulfe fans are gonna read it that way, because they WANT to believe the 190 was so special everyone wanted to copy it.
Others, myself included, who like the 190's but are not 'fans' of them, read it this way: Bob Hall saw the 190, considered the overall design of the plane and wondered out loud just what it would be like with an American radial on it.
The Grumman company designed naval aircraft, they had to be rugged as hell to withstand the punishment of carrier landings and other things that land based aircraft didn't have to endure. Based on that alone, I'd say that barring the resemblance of one radial engined aircraft to another, and having two wings, IMO the Bearcat and 190 don't look a thing alike. Wing shape......different. Vertical stabilizer.........different. The list goes on and on.
The F8F is in my opinion, just the next step Grumman took in their quest to make better aircraft; it is more streamlined, lighter, faster, and more agile than the F6F.
And just for you 190 lovers out there, NO, I am not a 190 hater. The Dora is one of my favorite rides when I do get in LW iron, rivaled only by the 109G10.