While standing with a 'normal' stance, most animals have much difficulty to stretch their necks down far enough so that the 'lips' of their mouth reach below their feet. A grazing animal such as a cow can easily reach down to crop off grasses; to drink they need to get their snout farther down to suck up the water.
It's not that they can't drink water below their feet - it is that they can do so by either standing in the water ( in which case the water surface is above their feet ), or by assuming an odd looking and difficult front leg spread stance at the water edge so as to lower their shoulder height. The ground has to be accommodating for the grazing animal to assume such a stance. A hard rock surface ( as seen in the video ) is not accommodating as the animal can topple over from the feet ( hooves ) having little grip to keep them from spreading. Painful and dangerous ( break a leg ) for the hoofed animal.
A lion may lie down at the water edge to lap up the water.
Same for a dog.
Still, if the water is much below the ground surface, they too may be out of luck to get a drink.
As would you.