I think there is a stigma.

When single I remember the intense look of an interested girl, that switched off at hearing what my job was.

However, I also think that is offset by some positive bias towards looking for wrll paid professional partners.

The stigma exists. I do think it is fairly easy to avoid its effects (don't be the "undesirable" stereotype). I also think most jobs have a stigma, with negative reactions from some people.

If someone only sees you as your job, that is their problem!