I did my M.Sc. in quantum physics, and I'll be the first to admit I don't understand it.
Yes, the equations do seem to predict what we observe in experiments very well. Shockingly well, given how strange some of the predictions made by them are! However, we lack an intuitive understanding of why the equations work. Matter and energy behave very differently on the quantum scale than they do on the macroscopic scales we're used to observing. If you're trying to model a pendulum, your intuition about how objects behave in the real world can be of immense help when performing sanity checks on your equations. Your intuition is worse than useless when it comes to quantum systems. It's not just flat-out wrong much of the time, it can lead you to ignore things that should not be ignored.
Quantum physics has all sorts of English language, short-hand descriptions for mathematical functions like "tunnelling", "non-local", "spooky action at a distance" or, as is pertinent to this article "observation". You may think you understand what these mean, but you're probably at least partly wrong if you're thinking about them in terms of human language, natural human intuition, or even the very specific short-hand terminology of physicists. We are continually teasing out nuances in the math that language simply does not capture. If we lack the language to adequately describe reality, can we really understand it?
Feynman was very correct to observe that people who think they understand quantum physics on a deep, intuitive level, probably do not. Doing quantum physics with a human brain evolved for bashing stones together is like trying to breathe in outer space. It's possible with considerable effort and the right tools (e.g. a space-suit), but if you ever forget that it's a deeply unnatural thing to be doing you're probably going to get yourself into trouble.