As per title, my question is "Do men have ANY reproductive rights in the west" and if so, which ones.

To set the stage, I am going to use the definition of reproductive rights from the World Health Organization which is as follows

"Reproductive rights rest on the recognition of the basic right of all couples and individuals to decide freely and responsibly the number, spacing and timing of their children and to have the information and means to do so, and the right to attain the highest standard of sexual and reproductive health. They also include the right of all to make decisions concerning reproduction free of discrimination, coercion and violence.[2]"