Do international students have a lower chance of getting accepted in STEM-fields PhD programs at US universities?
Since you can't change the situation and suddenly discover your US citizen parents, you can only apply for positions and make your best case. As I mentioned in comments, the quotes are from an individual who is clearly expressing an opinion, not the results of research.
Yes, you will find people who will mark you down a bit or a lot based on your circumstances, but you will also find people who take a broader (and IMO, wiser) view that applicants are individuals who should be evaluated on a relatively fair basis.
But, you will find that competition in some fields and in some universities is intense and you have to make the case that you are an excellent candidate with many expectations of success.
Note, that some parts of the article that you didn't quote are more general. The writer is correct that funding in the US for doctoral study is normally not a problem as nearly everyone has a position as either a TA (most common) or an RA. This provides sufficient funds to live (if a bit humbly) and pays all tuition and fees. While the funding may not come from the professor, it is almost always available to anyone who is admitted and who requests it.
Visa problems may be intense at the moment as is the difficulty of travel, but those are outside what can be advised here.
What matters, much more than trends, however, is what it means for you as an individual. If you present an excellent application, showing hard work and past success and people are willing to write you good (great) letters of recommendation, you will have a chance.
But don't apply to too narrow a range of institutions. Give yourself flexibility and backup.