Here is the link to the study:

Hiring Discrimination Against Transgender People: Evidence from a Field Experiment - ScienceDirect

They based it off of 4 kinds of name changes (female to female, female to male, male to female, and male to male). While they found that trans people are more likely to experience discrimination, they also found that changes to male names (from either female or male) elicited more discrimination than changes to female names (from either female or male). Here are the results:

(Note: Female to male are trans men, Male to female are trans women for anyone confused)

Original name gender Gender of change name Negative (-) responses Positive (+) responses
Female Female 57.97% 40.34%
Male Male 61.27% 38.73%
Female Male 66.43% 33.57%
Male Female 65.58% 34.42%
Same gender name change (cisgender) 59.66% 40.34%
Opposite gender name change (transgender) 66.0% 34.00%

Trans men fared the worst, and fared worse than trans women, and while trans women fared worst than men, men fared worse than women. Identifying as male causes discrimination.

And yet they say that we trans men "transition to get male privilege"....yeah, no.