Yep, and thinking that everyone is judging you is often not a rational thought (it is probably the most common thought within a general social anxiety). The other person doesn't have to disclose anything...you just say "I don't drink"...feeling like you "have" to tell someone anything is not a thing. If someone has your testicles hooked up to a car battery then consider it but no-one is forcing her to say anything, she is forcing herself.
I come from the UK, I went to uni at a time when the drinking culture was still big...I never had a problem...at uni...in a country where it is fairly normal to get destroyed every weekend. Not once, out of (probably) hundreds of times (I did study theology briefly, the only time I remember it getting weird was with devout people thinking they had found someone with similar views).
Perhaps more to the point though: assume that someone did have a huge problem with me drinking, why do I care? Someone else thinking that I have to drink seems like an irrational belief on their part. It is never about someone saying they have a problem with someone not drinking, it is about people who don't drink thinking they can read minds.
What you are saying is that everyone else should be forced to change their behaviour so that one or two people stop making themselves feel uncomfortable. As someone who has been in this position: this doesn't work. If you feel uncomfortable and drinking is banned, you will start attributing those feelings to something else.
The reason I came to that conclusion (that banning alcohol is the solution) is that, based on the beliefs in the article, banning alcohol is the only actual solution. Presumably if something else was attempted like banning people asking each other for drinks, then they would worry about people looking at their drink.