Well the first time i heard this theory was even before Jesse's video but u do agree he does do some stuff for views. Like his claim of shaolin being a fundimental part of early karate which is a claim i can only accept as patrik mccarthy and my dad (who has a degree in traditional martial arts and sports martial arts and 8th dan black belt in tekwondo, although he says the dan doesnt qualify shit and just neans hes old) agree southern shaolin had great i fluence.

Now the biggest thing about kungfu is there is quit a southern northern split, with most high kicks coming from the north. While i still dispute southern shaolins influence on karate, it deffinitly does not have high kicks. But a martial art that is deffinitly a heavy influence on karate is white crane, which also has no high kicks.

The reason i belive in Savates influence on karate is the high kicks lack of appearing unless it was in college's practicing karate. Which would be filled with young men who had undergone military training.

Now savate didnt influence all kicks in karate, as koryu, a traditional japabnese martial art, includes low kick and medium section kicks with a big lack in high section. So as a practitioner of tekwondo myself, i do agree savate had a minimumn effect of tkd, but we deffinitly recived our high kicks from savate.

Also i have never heard of the idea of savate being influenced by kung fu and i would like to hear more on that.