@SarahGen-- If you're on a low dose and drink moderately, you're probably not going to experience problems if your liver is healthy. But it is true that taking prednisone with alcohol will put a strain on your liver because they are both metabolized by the liver. If you can avoid drinking, you should.
I completely agree with the article that people who are on prednisone for stomach or colon issues should not even think about drinking. It's going to worsen their symptoms and taking the prednisone will be a waste.