I think it depends on the job you are looking for? For example, in business school, consulting companies and investment banks wanted to see your GMAT on your resume. Other companies did not care. Not sure about the GRE, but I would think it would be industry-specific. But probably not, TBH, but at the end of the day, I doubt it's a deal breaker for any potential employer.
Though I have done a fair amount of hiring and I would say that there are worse things to put in your LinkedIn or resume. My cringe-worthy thing it elite high schools (St. John's is the big one here in Houston that people like to out on their resumes / LinkedIn). Nothing says I have a silver spoon in my mouth and haven't had to work for my achievements like putting an elite high school on your resume or referencing it on your LinkedIn....