Yes, I've heard and read in a National Institutes of Health study on LGBT people and eating disorders that initially the assumption was you would see more eating disorders in gay men because there is more pressure to conform to a beauty ideal, and that you would see less in lesbian women, but the second part of that was shown in the study to not be the case, that lesbian women and bisexual women would experience eating disorders at roughly the same rate. There definitely needs to be more study done.
Any time you're telling people there is one way to be beautiful and that your main goal has to be to attract someone using this beauty, you're going to have issues, and that is not just a message that goes to straight people.