Given that every same-sex parented home will (by definition) be missing one gender’s influence, missing at least one biological parent, and thus the trauma that accompanies that loss, the claim of “no difference” merits serious skepticism.
For one thing, we don’t disparage members of the LGBT community or the kids they are raising. This is not a commentary on whether or not gay and lesbians are capable parents. One’s sexual attractions do not determine their capacity for child-rearing. A lesbian can be an exceptional mother, she just cannot be a father. A gay man can be a fantastic father; however he cannot, no matter how nurturing, be a mother. Children require and desire both.