Favorable opinions and professional character praises are not the same as fake news as in conspiracy theories and outright lies. Really, this is just criticizing people for acting in their own rational self-interest to protect their reputation.
Idk, I guess you could make the valid criticism that this is bad practice because this is a privilege only the wealthy and influential have, but I'd argue that is (in most instances) the only class of people who likely have to deal with a barrage of negative news coverage to begin with.
Which begs the question: do wealthy and influential people have the capacity to reform their behavior, and are we willing to let people make mistakes and try again in life? If the answer is yes, then clearly they need some recourse against the astronomical influence of online search results and social media.
Wish the masses were just as open to forgiving people as they are for grabbing the pitchforks and torches.