I can't say it's totally false, because some women (like me) put on muscle rather easily, and a woman's lower body strength is generally equal to that of a man. Having said that, however, I will add the following...
1) 99% of women in the gym train with no intensity, whatsoever. You have to actually lift some weight and challenge yourself consistently over time. People look at me strangely because I actually close my eyes and grit my teeth when I'm pushing out my last few reps. Are you doing that?
2) Muscles swell (especially legs) after a hard training session. Many women stop at this point, when their favorite pants might be a little tight for 24 hours, and proclaim "oh my god, I'm BULKING!!!
3) Guess what? You have to actually change your diet, too. A lot of women keep eating their junky carbs and blame the weights instead.
4) Women are addicted to the scale. I'll assume you know muscle weighs more than fat but TAKES UP LESS SPACE.
Bottom lie - This is a woman's most convenient excuse not to exercise, and they refuse to get their heads out of the sand.