To be fair the examples in the article are trying to show what happens when you use this post-processing in situation it was not designed for, sometimes going to extremes to deliberately demonstrate failure modes, so it would be surprising if it didn't have weird artifacts. None of those photos are using it as intended.

I agree some HDR skies in your shots do look weird, but frankly that's probably just HDR. How do you find the phone's photos when you switch off the effects you don't want?