I worry this view is both pedantic and harmful.

Of course over geologic scales extinctions are quite normal, and nothing is static.

That doesn't mean ecosystems aren't normally resilient to perturbations on a smaller timescales: https://en.wikipedia.org/wiki/Ecological_stability

>Populations will get wiped out, species will disappear.

There is plenty of evidence that extinction rates are extremely high right now, and that humans are culpable. https://onlinelibrary.wiley.com/doi/full/10.1111/brv.12816