US HR used to throw away any photos that people attached to resumes. (Usually someone attaching a photo was a recent immigrant, who didn't know the US convention.)
I've even heard rumors that some companies/screeners had a policy of throwing away resumes that included photos or other gratuitous information that could be the basis for illegal/problematic discrimination.
"Because LinkedIn does it" isn't a good argument, because LinkedIn is pretty awful, and the only things going for it are: (1) the majority of people are on it, and (2) recruiters sometimes search/spam there.
Some social media sites do photos because they pander to the worst. Or, in the case of one prominent social media site, infamously because the original inspiration was to catalog the best-looking women at their college.
Unless you're a headshots site/app for hiring models/actors, best to go with content-of-their-character, and all that.