There are women connected with the band as wives, sisters and daughters, so they are not anti-women--but the lyrics, imagery and ideas of the band exhibit a clear and strong pattern of misogyny.
OK, let's see.
Butchered At Birth
Shredded Humans: Full family slaughter
Edible Autopsy: Sexless necrocannibalism
Put Them To Death: Random killing
Mangled: Complete and total bullshit but sexless
Scattered Remains, Splattered Brains: More bullshit, but sexless
Born In A Casket: Sex with a dead woman but I can't agree that any sort of mysogynistic sentiment is to be found here, the point is the zombie baby I think. Dave, I hate you so much for making me go through all this shit to prove you wrong.

Rotting Head: More sexless blah blah fucking blah
The Undead Will Feast: No women here.
Bloody Chunks: Fucking hell these people are retarded. No women here.
A Skull Full Of Maggots: No women here.
Buried In The Backyard: No women here.
Album 1: Eleven songs, only one that could even possibly, if one was stretching, be anti-woman.
Butchered At Birth
Meat Hook Sodomy: IhateDaveIhateDaveIhateDaveIhateDave. No women here.
Gutted: Anti-child, yeah, but no women here.
Living Dissection: No women here.
Under The Rotted Flesh: Aha! A possibility for debate! Necrophilia... anti-woman? Anti-corpse? But OK, a woman is all put upon at the end of this one.
Covered With Sores: OK, maybe this one.
Vomit The Soul: No women here.
Butchered At Birth: OK, let's assume this one.
Rancid Amputation: No women.
Innards Decay: No women here.
Album 2: Nine songs, perhaps three count for your view if we agree that the point in all of those three is specifically to take out morbid fantasies on women, and if that is still significant in light of what happens to non-gendered victims in other songs.
All-time classic album cover, though.
Tomb of the Mutilated
Hamer Smashed Face: No women in this smash-hit song. (teehee)
I Cum Blood: Hmm, can't argue here as it's all KILL WOMEN KILL WOMEN. "The greatest thrill of my life/To slit my own cock with a knife" Lovely.
Addicted To Vaginal Skin: Voodoo spells possess an innocent man to begin "clit carving." mmhmm. I guess this has to count.
Split Wide Open: Woman specifically as perpetrator and not as victim.
Necropedophile: Holy fucking hell I forgot just how vile this is. Haven't people been arrested for child porn in this country for writing fiction tamer than this? Seriously. The victim is decidedly female, so I guess this has to count. *shiver* I ruined my wife's coffee by reading these lyrics to her as she drank. hahahaha!
The Cryptic Stench: The line "Impregnation of the virgin/I drink the blood of the unborn" is in here but I can't count this as mysogynist unless the very mention of the popular vampire myth is as well. Not counting it.
Entrails Ripped From A Virgin's Cunt: I don't think I have to even read these lyrics to put this in the "yuppers" column.
Post Mortal Ejaculation: First half is about autoeroticasphyxia, the second half is about being a horny zombie raping women.
Beyond The Cemetary: The victim is the POV-dude's daughter. Niiiicccee.
Album 3: Nine songs, six of them victimize women. You'd have a point if we limited discussion to this album.
Too bad this album cover (another all-time classic) wasn't used for Eaten Back to Life as it fits that album title much better.
The Bleeding
Staring Through The Eyes Of The Dead: No women and the most tame song they'd done up to this point. Leadoff track, they did a video for it. haha. Sellouts!
Fucked With A Knife: OK.
Stripped, Raped, And Strangled: hehe, OK.
Pulverised: No womanly mentions.
Return To Flesh: No women mentions (hmm, one lyric site shows nothing here, and another has some blah blah boring stuff...)
The Pick-axe Murders: No women mentioned.
She Was Asking For It: I see where the reputation comes from.

The Bleeding: No women.
Force Fed Broken Glass: No mention of women anywhere, although it could be inferred from the line "Oral sex, with broken glass," but I'm not counting this one.
An Experiment In Homicide: No mention of women.
Album 4: Eleven songs, and I'd count three as specifically portraying woman as victim.
So the Chris Barnes era... Forty songs, and only 13 I would count as showing women as victims. Now, maybe just one might be enough to trigger that "bad, bad, bad" reflex, but in light of all the other sick shit going on in these lyrics, I stand behind what I said in the interview.
What a dumb bunch of shit this all is though.
Vile
Eleven songs, NONE with woman as victim. One specific woman-on-man song but if I remember correctly they were intentionally keeping away from the woman-as-victim theme for this album.
Stripped Raped and Strangled is what pushes it over the edge from where Im standing and it is beyond the pale. Im sure this about some serial killer and establishes the distance that the cartoon gore of other songs do to some and the band would make the argument too--but there is no element of fantasy or play here, it is brutal voyeuristic realism.
Actually, that's the aspect of this song is what makes it stand out from the rest on their first bunch of albums. It doesn't seem like a bunch of bullshit. The fact that it also sounds like a song and not a ten car pileup helps. I've suggested this song to Ben and PJ for Twilight Odyssey to cover. I think there's plenty of room for melodic vocals here.
The issue of Terrorizer containing the interview is a box buried under some others, but at least one member of the band does not allow their kids to see or hear anything related to CC.
I can't really form an opinion on this without knowing how old the children in question are. Then again, my mother showed me Andy Warhol's Frankenstein before I hit puberty (not that I understood what the fuck was going on), so maybe I have a skewed perspective.