TV show ratings now = Misogyny
No, TV show ratings show evidence that misogyny exists. Maybe. (Correlation is not causation, etc) Claiming that they are equivalent, though, it not what's being asserted, and is generally a false representation of the argument being presented.
I think the most relevant graphic in the article was the one about how often men and women give 1 ratings to shows, relative to the percentage of men vs women rating the show overall.
Women also skew upwards in giving 1s to highly male-dominated shows. If at least 20% of the ratings are given by women, the percentage of 1s is pretty constant, at a little over 2%, but below 20% women, the percentage of 1s increases dramatically, to about 8% at the far edge.
Men, on the other hand, have a different trend line. Up to around 30%, maybe 40%, of women rating a show, men's 1s are perhaps a bit under 3% of all ratings. However over 40% (so 60% or fewer men, vs 20% or fewer women for the same effect on the other side) this increases dramatically, reaching perhaps 12% of all ratings being 1s for the shows with the highest female percentage (capping at 80%). There's definitely a difference in both perception and tolerance for shows that are outside your primary demographic.
Now, if you look at the rate that each one increases, women's percentage of 1s grows faster than men's (0.3 vs 0.225), but men's starts much sooner (40% rather than 80%). Possibly an indication that men are more likely to severely diss shows that are only mildly outside their comfort zone, while women will try to remain tolerant until things reach extreme levels, and then they start going negative far more quickly.
On the Sex and the City example, it was interesting to note that the average rating, when broken down by age group, was almost exactly the same across all ages (5.7 - 5.8 for men, 7.5 - 8.1 for women, with the 7.5 being a slight outlier of a relatively low sample size group of 45+ women [1100 vs 10k+ in other groups], the rest being 7.8 - 8.1).
The fact that the average doesn't vary by age actually seems like a counter-point to the misogyny as a source effect. One would expect that general behaviors have changed over time, and certainly over ~3 generations. Thus one might look for explanations outside of mere sexual attitudes, and more into behavioral aspects that have not varied over time. However the fact that men end up giving the same average ratings over such a large age range implies it's not just teenage brats going on a 1-rating spree, nor the influence of an older (presumably more misogynistic) age bracket influencing the final totals. It's something more pervasive and consistent.
Anyway, there's most definitely evidence of some sort of behavior difference between men and women in the data, though a lot more research is needed before I'd agree to any specific 'cause' being defined.