If we ignore religion, do gay and lesbian have different social status?
(Pleas add what bios you have in the question to support the answer, e.g. the grass is greener on the other side)
I did find this research report on mental health for LGB people but it do group every one together (https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2853758/)
The report did say that social relation is an impotent part for the mental health.
On the other things that I found were LGB or LGBT one grope except one that was in favour for lesbian but based on a general study made in the states that was on tolerance of LGB as a grope so it's most a blur of gray. (http://www.pewresearch.org/fact-tank/2013/06/25/how-lgbt-adults-see-society-and-how-the-public-sees-them/)
I don't have a source for this: Even if it is more accepted to be lesbian wouldn't I say that they do have a higher social status and I do feel like it is general a very big difference on how accepted LGB's are and that really screws with it.