This is childish. You could say the same thing about putting your name or even the company names you worked for on your resume. People hiring want to get to know you, they have to work with you, if you want some pretend construct that focuses in the appearance of some being "unbiased" you can probably look for a government job. Otherwise, people will see you, interact with you, and learn about you eventually.

That said, I have rarely seen a photo on a resume. Most people have LinkedIn now so hiring folks have a photo that way regardless. The only place I consistently see photos is on professional services (consulting etc.) "resumes" which are usually more a blurb about you and the kind of projects you've worked on. In that case they are standard, and they would be on a lawyer or accountants website.