Please add your photo so creepy people can check you out and potential employers can determine if you are ugly, wrong color, wrong sex, uncool, or other discrimination.
If you really believe it has that much impact get it photoshop'ed. Game the system if you think that you LinkedIn picture has an effect. Pick your preferred pronoun or what ever.
Would be pretty awkward once you started interviewing, I'd imagine. I wonder how long one could keep it up though... perhaps during COVID it'd be possible to fake your race/gender all the way through the offer letter? I'd read that Medium article.
