Everyone has a right to not be executed or go to jail for their sexual orientation or gender identity. This is sadly not the case in many countries.
The sand trap of moral relativism is not the point - people in the 'west' are making the normative claim that this is a fundamental human right.
New information about possible genetic determinants of sexual orientation (or lack thereof) is not fundamental to determining if this is in the "realm of human rights". What is key is: people who are LGBT emphatically cannot choose to 'convert' to some other sexual orientation or gender identity. Thus, any private or public policy that discriminates on the basis of sexual orientation or gender identity is wrong.