Many are absolutely phobic. You're correct in that it's not the teaching to be phobic, but it results in such. I knew people that wouldn't clean for gay couples, people that talked about us because we did, and my dad's last conversation with me was him screaming at me for "loving the gays" because he had pent up anger at me for a conversation years earlier where I defended them. Again, the admonition may not be to become phobic, but in my view it created a huge culture of homophobia. I knew so many people that were just that. I've read many experiences that expressed the same. So much anxiety, and frankly disgust for, people's sexuality and who they were, especially if they didn't fit the definitions of masculine and feminine espoused in the publications.
I think it's interesting to compare the doctrine to the culture that it produces in most in the cult. There was so much drama around sexuality.
Just like this video, how at face value they're telling you not to worry, Jesus will ride in to save you, but the emotion of the video is one of intensity, fear, anxiety. They know what they produce, and are so good they don't have to say it directly, which is all part of the manipulation.