Women don't want a player even if they are truly only looking for a one-night stand.
This is not true. Women love to think that they can get the "player" to want to settle down with her. In fact, a player can get a woman to want him because she knows that other women want him. The problem comes when the "player" overgames a woman where she believes that she doesn't have a chance or he makes her feel like she's just a notch and that's when being a player is looked at negatively by a specific woman.
You're both right. The cat who isn't wearing chains and saying "baby" .... the grounded socially aware man .... may be labeled as a "player" but by not advertising himself as such and not discussing his sex life with women ..... is bound to receive the interest of multiple women because of implied social proof.
Going on in her subconscious is something along the lines of, "How in the hell is he having this smooth af interaction with me if he isn't comfy enough to do this with other women and hasn't been received favorably by other women in the past...it would be seen as weird then, if I too, didn't react favorably."
Pics with girls? I don't know man, test it out for yourself and compare response rates. It's the ONLY way you're going to find out if it works for you or not.