No, it probably won’t, and certainly not “always”. A majority of the issues raised in that article concern errors in packages that have been fixed, most rather a long time ago.
That "always" holds for the Julia language almost surely as long as interfaces are missing in the language. It is just a matter of time to find newer issues.
My Julia programs do not “always suffer from correctness problems”; therefore you are incorrect.
More generally, saying that programs written in a language that happens not to include a feature you think is important (in this case, interfaces) will “always suffer from correctness problems” doesn’t seem to be a serious point of view.
All Julia codes are arbitrarily extensible. Any Julia code can always be readily extended to silently yield incorrect results. That is the whole point of the blog post shared above. Justifying the indefensible is different from wanting or liking it.