No, apparently not even war veterans have similar high rates of PTSD.
For sources you can look here, for example: https://bmcwomenshealth.biomedcentral.com/articles/10.1186/s12905-017-0491-y
Or here: https://www.researchsquare.com/article/rs-459170/v1.pdf
When you consider that even in countries like Germany it's almost exclusively poor women from other countries, often single mothers and/or already with mental health issues, who do sex work, I think it's very naive to believe the job is the same like flipping burgers or construction work. Or that these issues only stem from stigma and working conditions.