As the video caption says, it is weirder than you think.
Quantum mechanical effects being apparent to our senses is cool but not in itself weird or even rare. The colors of fireworks and neon signs are determined by the quantum mechanical behavior of electron transitions. One of my favorite examples is that the double yellow line of Sodium is due to the effects of electron spin. The function of a digital camera is also quantum mechanical.
But the weirdness in this case involves a much more fundamental question: "how does the universe decide the outcome of an experiment?" The most tempting, obvious answer is that the process involves properties we cannot measure. That there are limits to what our senses and instruments can detect. Those would be hidden variables. But what the Bell inequalities are showing is that this explanation does not work, without discarding something which relativity also tells us is very fundamental to the universe -- locality.
I don't think abandoning space and time on that level helps us. A wave function itself contains both spatial and temporal parts. The Schrodinger equation literally says "the second rate of change of the wave function with respect to space, and the first rate of change with respect to time (with some additional bits for the energy & momenta operators), are equal. So any philosophical explanation for the behavior of quantum mechanics requires deeper thinking. In over 50 years of thinking people have come up with several, but they don't appear distinguishable by experiment -- they're interpretations rather than models.
The notion of space itself being dynamic is one of my favorite things. General relativity and Cassimir effect are classic examples, but even plain old electric and magnetic fields can be described as a property of "empty" space. They also make a good illustration of how what we feel
as solid objects are just those fields on a very small but strong scale.