Are there LBGT sounding names? That example only works in one way and it only works as a social expirament and doesn't equate how real people look for jobs.
Real people don't look for jobs by sending in resumes? Because that's literally all the experiment is: writing identical resumes, save for the names, sending them in, and seeing which ones get responses. Most recent study I could find was done in 2004. I'll link the full study if you want to peruse it, but the abstract, I'll quote directly.
" We study race in the labor market by sending fictitious resumes to help-wanted ads in Boston and Chicago newspapers. To manipulate perceived race, resumes are randomly assigned African-American- or White-sounding names. White names receive 50 percent more callbacks for interviews. Callbacks are also more responsive to resume quality for White names than for African-American ones. The racial gap is uniform across occupation, industry, and employer size. We also find little evidence that employers are inferring social class from the names. Differential treatment by race still appears to still be prominent in the U. S. labor market."
Are Emily and Greg More Employable Than Lakisha and Jamal? A Field Experiment on Labor Market Discrimination by Marianne Bertrand and Sendhil Mullainathan. Published in volume 94, issue 4, pages 991-1013 of American Economic Review, September 2004, Abstract: We study race in the labor market by...
www.aeaweb.org
ETA: Also, while there are not necessarily LGBT names as such, most if not all jobs require you to list any names you have used in an official capacity in order to do a background check...which would be a dead (sorry) giveaway for anyone who is transgender, as it's pretty clear when a former identity of John Smith is Jane Doe, or vice versa.