I'm not sure if I replied to this yet, so apologize if this is a repetitive post.
I think for the most part, they were going to fire Jennifer Lien either way, due to her mental/drug problems that only recently came to light. They may have played up the magazine thing to distract from the truth, and protect Lien's privacy.
That said, the magazine could surely have been a factor, simply because it drew attention to "Voyager's" only Asian major character. In the 1990s, and on "Star Trek" no less, killing off their token Asian character would surely have been a risky move. So if they had originally planned to off Kim, they no doubt wanted to do it quietly, without too much media fanfare. But then this damn magazine brings him up, and now millions of non-"Voyager" fans have just learned that "Voyager" has a major Asian character named Harry Kim, in a time period when Asians were probably still underrepresented on American TV. So there was no way they could kill him off now.
I don't know any of this for a fact, this is just my personal hypothesis.