Well, you influenced my imagination here 😃 So yes, I see them dart around and play hide and seek... boy are they fast! They can sure run! Boundless energy, I got tired just watching them.
(Side note: that was some awful angle that showed the pianist's hands from BELOW, yikes!)
And the water in the second piece... I can see it. It's not a wild waterfall, but more like a brook splashing and splaying. At one point I think a tree floated by... and did you notice the deer drink? It was a little nervous... looking around in all directions, but it was just the wind blowing through the leaves in the trees behind it.
(Another side note: this is not one of my favourite pieces. Too many notes and not enough variation. Luckily all tastes differ and I fully appreciate people who do love it)