Many women don't like condoms.
Women have far more to gain from not becoming pregnant, so of course the bar for acceptable side effects is higher for women than men. There is no medical advantage to not getting a woman pregnant for a man, it's a huge advantage for a woman.
Condoms are not always effective.
Women can get pregnant from pre-cum, or if men pull out. It's bullshit to say that a man's orgasm is "necessary".
Plenty of men have to deal with the consequences of unwanted pregnancies. Paying child maintenance, the end of their relationships, I could go on. Plus sometimes it's the woman who doesn't want the pregnancy, not the man...
Vasectomies are not "totally reversible" and have plenty more side effects than the author makes out. This point alone makes it clear she's either ignorant as shit or is being deliberately misleading.
This kind of thing is EXACTLY why feminists get branded as "man haters" and it doesn't help women at all.