I can confirm Lahore is extremely liberal, it has a massive red light district called Hera Mandhi (Diamond Market) and Pakistan used to be liberal I have pictures of my mom and dad from Rawalpindi they have funky hair and dressed all in western clothes. I can say if you come from a pretty well off and powerful (tribal) family in Pakistan, you pretty much have nothing to fear, I've said this before I used to openly debate Islam in coffee shops in Islamabad and Lahore, I never once had any problem of threat of being beheaded, though most admit I did tend to be around more of the upmarket areas!
I've been to conservative places like Mangla Dam and Mirpuir those places were slightly backward, and folks staring at my wife as if they've never seen a woman sit on a speed boat before. So apart from the shit places most of the upper echelons of Pakistani society are well educated and pretty liberal.
I stayed in Rawalpindi for a few days and Jhelum for about a week, compared to Mirpur they're more liberal. I got called a "jangalee kutee" in Mirpur city coz I had my blue dyed hair uncovered