I've run the original KO and the newer KO2 for years on my Jeeps and always been happy with them both on and off-road.
I've run everything from a 31" - 35" with these tires and had a great experience.
More recently, I've switched to the KM3 in a 35" tire and really like it, but I don't have many miles on that and would go with the KO2 if it were on a daily driver. The Jeep is dedicated to the dirt and the drive to and from the trail, so I would go with the KM3 again in the future. I've run BFG Krawlers on the Jeep and the KM3 does almost as well on dirt, but much better on the highway to the dirt.
I recently put Falcon AT Trails on my Subaru Crosstrek and I like those on highway, but they are a new tire and have not seen any dirt. The Falcons you are looking at are a bit more aggressive.
I'm looking to buy a 1999 gen 3 4R with a V6 and manual trans. It will probably see 50% on-road and 50% off-road. I plan to use the KO2 on that.
Hopefully, I'll find a 4Runner to buy soon and then be able to post an opinion with that perspective.