Despite being a little squeamish, I actually liked the death scenes in Tomb Raider 2013. I felt it gave me an extra incentive to not die and added tension to areas where I thought I might die.
It's a bit of a strange article. Half of it is a good analysis of the way death is handled in games, whereas the other half is the usual feminist stuff. Since this is a Polygon article, I wonder if they made the author emphasis the feminist aspect more than he otherwise would have liked. It's strange that he says "Yikes" in alarm when the one of the developers says that gamers might be a little more protective of the protagonist due to her being female, but then later says seems to get very protective of her himself for precisely that reason "yes, these grisly death scenes are especially weird because Lara Croft is a woman."
That said, much like the article itself, Polygon actually has some really good content mixed up with the obvious political agenda. Their oral histories of Street Fighter II and Panzer Dragoon Saga are especially worth a look. I'd definitely recommend taking a look at the author Mark Brown's youtube channel as well, as he often has some good stuff on there.