Peoples rights don't go away because of their profession. If its a human right it doesn't come in tiers
No, but can be willingly waived.
Personally, i agree wholly.
I've been employed in an agency that specializes in low-tier 'google PR', that is, trying to erase\mitigate old\incorrect circumstances that lead to a simple google search (Which every employer will do) in revealing private information, which can't be easily taken down.
Two clear examples in which the 'Right to be Forgotten' would've helped those people greatly: (Actual cases in which i worked at.)
A company was wrongly accused of a pretty serious crime (They produced food, and the accusation was pretty dangerous).
Nigh all the local and some national newspapers pick up the story, and publish it.
A month later, the trial is held - the accusations were baseless (Since they came from a department of the state itself, the newspapers rightly considered them sourced enough - said state department had gone as far as using it's state-sanctioned youtube channel to publish a video in which said accusation is 'proved').
Still, trial held. Accusations were baseless, responsibles were sacked and are undergoing trial for slander, abuse of power, and a whole slew of things, all newspapers which had published the original story had to publish a notice that said the accusations were baseless, etc.
In the before-google world, we'd be done.
In that case, though, searching for the company's name (or general product) hit up with three full pages of information relating to the baseless scandal - nigh all of it wasn't taken down, and notices were posted separately.
Which meant, the notices that revealed the accusation as false weren't ranking in google - for obvious motive: A news of a scandal gets clicked much more than the disconfirmation of it, so google's algorithms linked the accusation articles on top.
(Our solution was SEOing correct information to google's first results)
Another case involved a young teacher who had an homonym convicted for pedophilia. While obviously the related articles were reporting correct information, the poor guy wouldn't get hired anywhere as a teacher.
(Our solution was to get a newspaper to print his story about not finding work due to the absurd situation and SEO it to the top of the google searches for his name)
In both cases, being able to just contact google about it and remove\reindex\correct information would've helped greatly, and should be very legal.
(The cycle of Accusation is made -> Is found to be baseless -> Google searches still show only the accusation articles\posts is very, very common. 50-60% of all our clients were exactly in that position.)