I just re-watched the VHS version for the first time in at least 7 years, since after the DVD came out, I've only watched that.
This scene was more similar to the new edtiion than I remembered, so I think I have to take back a few things I said in my first post to this topic. Such as deepening the characters, I see the original did it as well.
But I still like this new edition better. I love the original, but I love this one a little bit more.
It's funny that Zazu lets himself be humiliated because Mufasa wishes it so, but it's even funnier that the father and son plot the jumping lesson in secret, while Zazu sings his heart out and the song is so stupid. I also like better that instead of shortly chasing a cricket, Simba torments the mole a little longer + makes that pathetic jump and hits his head. It's so much cuter than the cricket version. And of course the tormenting Zazu more than just by jumping on him. This new edition is more colorful and entertaining, in my opinion. And I just still ignore the song (for one because it indeed gets stuck in your head, if you don't.)