Strangely, none of these critics ever seem to consider the opposite cases: what if a person was wrongly accused of murder, but was later found innocent? Old articles about his "suspicion for murder" should either be rectified or deleted. What is more important: to prevent an innocent person from being punished, or to be able to punish a legit criminal?
Or let's take something more mundane. If you posted embarassing party photos while you were a teenagers, and some site made a copy of those photos, shouldn't you be able to have them removed?
(Mind you: this particular critique on GDPR wasn't valid in the first place. GDPR article 17 states that the right to be forgotten does not apply "for archiving purposes in the public interest", among others.)
See also my other comment in this thread about the plastic surgery meme, "The only thing you’ll ever have to worry about is how to tell the kids". The meme is false but it ruined the woman's career.