Yes, I believe that girl love can turn into unhealthy obsession. Right now, I am suffering from obsession. I feel frustrated and this turns into sadness. It can also turn into depression. It does not make me more angry at the way society treats pedophiles in general since that's got nothing to do with it.
When I am obsessing, I am focusing mostly or solely at the sexual side.
I wonder if being pedophile has to do with this - wanting something unattainable.
But I am an addictive person in general too. Two years ago I joined a SLAA group. Since then, I am actively fighting my sexual addiction. This always used to be searching for erotic stories of a specific fantasy nature. I have been addicted to this long before I discovered, three years ago, that I am pedophile. Since then, I began to look for pictures too - for the first time I knew pictures that were exiting to me.
I went to SLAA for my internet addiction. I was not obsessing in real life with real people. I was obsessive and very addicted in searching for stories and pictures.
Now I am sober from that, but sometimes obsessing over my daughter. She is 13 years old and very pretty. During winter and autumn, I have an easy time. But during summer, it is difficult because she is dressed for the heat.
With my 'old' addiction, things are going well. I am sober from searching for internet erotica.
But the way I obsessed over my daughter last weekend was not good, not healthy. I hurt myself with it.
It is very difficult for me to look away from her. But I think I have to teach myself to look away, instead of doing what I do now: obsessing about wanting to make pictures of her. This is the way my energy turns - it bites into that.
When she is dressed for the heat, I too often think: would it be appropriate to make a picture now?
Also, I found out: making and collecting pictures of her does not help me. Because, like with internet erotica, it is never enough.
The reason I want to make pictures, is to at least have something of her that I can keep and look at as long as I want. Like: this is all I can have.
But it does not work, because she moves and she lives and she walks and she talks and she changes her clothes and she is always different, and no matter how many pictures I have, they do not make up for my real life visual frustration.
Obsessing is not healthy. It does not make me happy. This is what I am learning.
I would be kind to myself when I would look away more often.
But this is hard for me.
She very easily shows herself naked to me. To her, this is not sexual at all, I can clearly see that. She just feels safe with me, I am only dad.
Sometimes I seer her a bit too naked and this does so much to me. I need much time then to be alone, to digest it, to become peaceful again.
So, it does not work to see her naked. It triggers me, but because it can never be consumed, it only hurts. The beginning only hurts when you cannot finish it. Better to have nothing, than to only be triggered. I am secretly glad when she comes downstairs wearing jeans and a sweater. Then I can have an undistracted day.
It distracts from love too. Not totally, because I love her so much. But in itself, sexual obsession stands opposed to love. It is not a heart energy.
And yet, it is so difficult to resist looking.
I am glad that I am at least somber from the internet addiction.

Would I be less obsessed when I would not be pedophile? Would there be a connection between pedophilia and obsession? Like it is a form of obsession, or can easily lead to it?

I like what mr. Natural wrote. When you feel it is becoming an obsession, that it is creating unrest, step away from it until you are your old self again. Better to do that, than to become addicted, as happened to me.

So I would like to warn against obsession. When you are used to search for pictures, see if you can stay away from it for two weeks. If you have trouble with that, better beware.
Addiction is not nice. No matter how pretty the picture, peace of mind is a happier state.
Obsession really hurts. It pulls one away from the heart, away from peace, from focus on real life.