It depends on where they end it. They could succeed in ensuring that if their child might suffer from GID, that the child would more easily accept that they can choose to live the role of the the gender that is not the same as the sex they were born as.
Many transgendered people suffer from GID because they don't understand why they want to dress in the clothes of the opposite sex or act like a person of the opposite sex, especially men. Many men hide the fact that they would rather be like women. Some women might too, but, as was earlier pointed out, it is much easier for a woman to be socially accepted for living a man's life than it is for a man to be socially accepted for living a woman's life, even to the point where most people just assume that any crossdressing man must be a submissive homosexual (eventhough this is not true, especially since a good percentage of male crossdressers and transgenders are attracted to women). Most people are raised in a manner that set up expectations for how they were supposed to dress and act, and even for what they were supposed to like, because of the sex they were born as.
For example, I never liked Barbies. My Barbie dolls always became conscripted soldiers in the wars that my brother and I would play in. I begged my parents for GI Joes growing up, but they always went to my brothers because even my parents would tend to forget that I had asked for some when they bought them for my brothers for Christmas. It probably wasn't even a conscious choice to not give me any of the GI Joes, but rather something that stemmed from it being more normal for boys to ask for Joes than girls. By the time I was 9, I was only asking my parents for books and clothes, but no toys because I knew that I wouldn't get what I wanted anyway, which was boys' toys.
And I know that my father is embarrassed that he likes to wear women's night gowns. I'm pretty sure that my father has no desire to actually be a woman, but he does like to wear some women's clothes and he is ashamed of this because of the way that he feels that some people would judge him for wearing them.
That is where much of GID comes from, especially for those who do not feel a need to actually change their physical sex. There disorder stems from them not being able to figure out why they want to look like or act like the opposite sex that they were born as, adopt those characteristics that society reserves for the opposite gender.
Someone who is raised without feeling that it is necessary to like pink or wear suits or dresses, but not the other, is less likely to have such feelings of dismay if they decide that they would prefer to wear dresses over suits or only wear pink or they would rather be involved with aggressive sports than do dance or theater than someone who was raised in a specific gender role.
