Not really

Well...there is. Having a sexual relationship with a child is by statute illegal, and 'minor attraction' implies a desire to have that very sexual interaction. Its kinda like saying that someone who has a desire to commit arson has no connection with someone who breaks the law.

It implies whatever you want it to imply. The descriptive purpose of the term "attraction" does not include a "desire to have [...] sexual interaction" - a purposeful longing that would be seen as "within the person's control" by most western psychologists and laypersons. When a straight woman expresses sexual attraction towards a grown man, we do not assume a desire to copulate with him on her part.

Your generalization is shaky...I am not convinced for a second that some here do not have to restrain themselves when dealing with LGs.

I do not have to restrain myself (deny a pressing urge to grope) with teenage boys, and my life does not revolve around my seducing of them. I do not see why it should be any different with paedophilic heterosexuals - especially any ones who disagree with the whole concept of sexual intimacy with small girls.

BTW I also do not agree that restraining one's sexual feelings is at all reasonable in the first place.

Nor, in my experience does the person who you are replying to. My impression is that there was an intended "mind over matter" theme to the reply that escaped you.