"If it were something that fit her personality and interests, I wouldn't mind. But I don't think it's a career track that suits her."
Uh huh. Well I'm going to go out on a limb here and assume that this response is not what most people have.
"Would I watch it? No. Would I be entirely comfortable with it? No. OTOH, I'm not entirely comfortably thinking about what my daughter may go through if she's going to have children."
That's nice - equating childbirth with starring in a porn movie.
Why am I not surprised?
Now you're missing the point, perhaps purposefully. To a certain extent, most parents are protective towards their children, even when the children are adults; even when they intellectually know that their children have to be free agents.
I don't like the idea that my daughter may be in pain, if she becomes a mother. I don't like the idea that either my son or daughter may have to be under severe stress, either physically or mentally, depending on what career they want to pursue. I'm sure my parents weren't all that happy when I worked a seven days a week work schedule for two and half years.
But I want my children to pursue lives that are meaningful and satisfying to them (without harming others). As long as I think they are doing that, then I approve -- even if the details may make me uncomfortable for their sakes.