That episode was based on the Brock Turner case (a REAL case). What that survivor went through was horrific, from the actual assault to the way she was treated by the police, the justice system, and many members of society.
The victim in both the real case and the SVU episode was unconscious, not just drunk. The rapist was drunk but definitely conscious. Either way, though, the rapist IS accountable, even if he/she is intoxicated. I whole-heartedly believe that it DOES NOT "work both ways" if both parties are intoxicated; exerting power over someone is assault. Alcohol is not an excuse. Drugs are not an excuse. Rape is rape if power is taken away from someone.
In MOST states, a person can withdraw consent at any time. Therefore, even if things begin as consensual sex, but one party says "stop," the other party MUST stop. Otherwise, it is sexual assault/rape. However, the one party must make it clear that he/she is saying "no" or "stop."
SVU is a sanctuary for many survivors because most of the victims in SVU cases get justice. That is NOT the way it happens in "real life." In "real life," survivors are often treated as the guilty party. In what other crime must the victim prove that he/she didn't want the crime committed against him/her? The questions asked of survivors are often intrusive, accusatory, dismissive, and judgemental. Here is a small sampling of the types of questions often asked of survivors:
What were you wearing?
Don't you think your clothing may have been suggestive?
Were you drinking? How much?
How much do you normally drink?
Why did you accept an open drink? Don't you know drugs can be put into open drinks?
Did you tell him/her you didn't want this?
How many sexual partners have you had?
Do you enjoy having sex at knifepoint?
Do you enjoy having sex in public?
Did you ask him/her not to beat your head against the sidewalk/kitchen floor/bathroom floor?
Did you scream? Why did you stop screaming?
Why did you freeze?
Why did you only scratch him/her a few times?
He/she didn't have a gun. Couldn't you have gotten away if you wanted to?
You only said no a dozen times? Maybe it wasn't clear to him/her that you were saying no.
Were you flirting with him/her earlier in the evening?
Didn't you willingly get into his/her vehicle?
Do you normally walk down that street? Didn't you know that is a dangerous area?
He wore a condom, which takes time to put on, so you had time to get away, right?
Why did it take you so long (hours, days, weeks, months, years) to report this?
Your rape kit had semen samples from two men. Who else are you sleeping with?
These questions are asked over and over and over again. Just try to imagine what it's like to be assaulted and then to be victimized AGAIN by the police, attorneys, and/or judges. It is truly beyond imagination. Because the fictional survivors are usually not asked those types of questions on SVU (yes, some of the defense attorneys do ask such questions, but the "reality" of the questions being asked relentlessly isn't shown), survivors often find solace/catharsis in seeing the victims in SVU cases get justice. It is an escape from reality. Therefore, many survivors find it comforting that Olivia treats survivors with respect and fights for their rights.