This does appear to be the case in Oregon, but it is not the case everywhere. Nevertheless, the Oregon administrative tribunals also apply the same burden shifting (case for this proposition is Lewis & Clark College v. Bureau of Labor, 43 Ore. App. 245 (1979)). They appear to have a relaxed evidentiary standard in administrative enforcement proceeding, however, and they also allow complainants to be compensated for mental and emotional distress, although I think that there is an election of remedies and, if someone chooses the route of administrative enforcement they apparently lose the right to file a civil complaint once there has been a contested administrative hearing.
The Oregon administrative enforcement scheme is interesting, more analogous to workers compensation and unemployment proceedings. In my state, there is a similar process for the civil rights commission, but they must still prove discrimination by preponderance and the factual findings of the commission can be reviewed without any deference to the findings of the commission. You do not have the right to a new hearing, but you have the right to have the evidence reviewed by a trial court within the judicial branch.
Nevertheless, in this case the outcome would not be any different. There is no major factual dispute here, so the questions are primarily legal ones (whether it constitutes sexual orientation discrimination, effect of First Amendment, etc).