There never has, and there never will be a strict definition of "jazz". Wynton has attempted to say, this is jazz, but that is not jazz; it won't work.
While what was presented is a good example of "New Orleans Jazz", it does not stand up for repeated listens in my opinion; it was dated when I was born, and that was a long time ago.
There have been more artists with different styles of jazz than I can count since that time.
Here is one of them;
https://www.youtube.com/watch?v=8BgZnyxD-bk
https://www.youtube.com/watch?v=-ltqlGdxJIo
https://www.youtube.com/watch?v=fC4hCn9411k&list=PLDiwark-Pr9o05stcwcQBOeiZrNKSO0-v&index=3