Is there a celebrity culture in academia and should we discourage it?
Academia is an extremely primitive and immature system in many ways, driven disproportionately by emotion and status over merit or egalitarianism. You will be reminded of a lot of academic social behavior if you read about the social behavior of the other primates.
However it is a unfair to suggest that people are simply acting as smitten teenagers swooning over big-shots because they have their own academic reality show. It is a social system which is behaving rationally in rewarding those who move it forward (or some new direction which at the time seems to be forward). Papers are almost a sideshow (written by underpaid postdocs), and citation count is merely a proxy metric for this. But impact, that which citation count tries to measure, is a very real and valuable thing; how well you can attract lots of funding to a research direction, as well as attract lots of other researchers into that direction, determines how important your career is to the system. And, in the absence of other sources of information, makes for a decent predictor for how important your work is currently and will be in the future.
Disclaimer:
I am not against naming academicians in their fields, likely Geoffry Hinton, the Godfather of Machine Learning who was a pariah in his research community until late of nineteens and his ideas come true. Some of them deserve likely Geoffry Hinton when he said the future for the students who are going to be suspicious of every word I said.
Cames to your statement which is questionable why do we name that academician as the celebrity, who do that, and what is the benefit behind?
Of course this a big question and there are many advantages to making someone's work is great, maybe for political reasons, getting reputations, grants, and many things and most importantly dominating a field and ideas which is turns to be a toxic academic life.
We are a human being and we can easily be affected by words and aurora created around a person, and that is the trick, you aggrandize a work of professor, institute, and being in the media all the time, it is kind of positive marketing, but it turned out to negative in the end.
I am trying to answer your question, how we can discourage that habit of having a star and every work s(he) is like Holy book and no one can check the integrity of the work.
I have to say that I am suffering mentally because I had been forced to leave from my first PhD year because I proposed a methodology against the proposed one from a star in my field who was cooperating with my ex-supervisor.
I found their work had a flaw and cannot be applied for applicable applications, however, they managed to get published in top tier venues, and he here is another question about the integrity of journals and venues itself, I found serious mistakes from this star and badly written by his cooperators who were also working with me, so in the end I have been told, you cannot do something against his theories and blah blah, of course, I made a mistake I should not argue with them and follow the herd.
So, I think discouraging the habit of having a star is quite impossible as in my humble opinion it is like a gang, everyone knows that these results are not reproducible, but no one speaks up.
I think the best incident is Schön scandal, where he was a star and it turned out he was fabricating results.
My simple answer is if you found a serious mistake in the work of those celebs report it as it happened in school scandal. Of course, we still have those crown in the field who are hypocrite and I can say that being honest in academia would make you a pariah, sometimes you need to follow the path of celebs to be recognized and that what happened to me after being kicked out, everyone forget me and did not even look to the work that I proved and I am struggling to get in to the path again.
To sum up, being honest and don't be fully blinded with those celebs and report about them if you see a serious mistake in their work, however, I would be afraid that you would be a pariah by your community, so in the end, it depends on the conscience of the researcher.
To add another perspective: Academia is evolving towards a more complex social system also much more than it has already been in the early and mid 20th century. This is partly caused by the social linking of researchers due to the internet, but also because ground-breaking discoveries single scholars like Einstein, Perelman.. made with less collaboration/help are not possible anymore, when the big problems to solve are cancer, AI,...
Here science becomes political, as you need some leaders to move into distinct directions and start approaches needing thousands of researchers to tackle the problem. In particle physics, as you can read in the book "Lost in Math" by Sabine Hossenfelder, many are helpless if the whole community moved into a dead end and nothing really new is anymore discovered but also no new approaches are developed or directions started among research groups. There, maybe a social group pressure is now at work and this is the apprehension she describes and supports with many notes and interviews in her community.
You can read about how schools of thinking/scholars and paradigms are build up and fade away studying philsophy of science (Thomas Kuhn wrote a lot on it).
The Schön scandal is a singular and small case on a lower level and time scale, but these social processes work also on much larger scales among thousands of researchers and over decades in a community. If the internet strenghtens the social binding in academia or increases independence of scholars I'm not able to judge. Likely both. The good thing is scholars like Mrs. Hossenfelder have a chance to reach other scholars with their concerns and decrease such scales. The internet makes everything evolving faster. When there are not two opinions/approaches to an unsolved complex problem in academia, something is going wrong, when so much people work in it and there is no progress over decades...