I think your pet certainly can feel fear and anxiety about the vet. I'll say that I think a lot of the problem is people. For instance, in the article you mentioned, at least two of the pictures are of people hugging the dog in sympathy and that leads a human to the conclusion that the dog is fearful based on the context. You often see people holding scared children the same way and people are wired to feel comfort from contact like this. However, a dogs point of view is that something scary or stressful happens, they give a reaction to it, such as cowering or snapping, and the person gives them affection. Their pack leader praised them, so it must be the right response. Ignoring that behavior and rewarding good behavior will cut a lot of it out right there.
Another reason people cause real anxiety in their pets, not just projected, is by the way they act. They expect their pet to be scared of the vet, so they change their approach to them, acting sympathetic or more quiet. Just like when you train a dog and they use your cues to know to sit, they're very good at picking up on body language and tone and if the only time you pet them and talk to them softly is when you go on a trip to the vet, they'll know where they're going. They'll associate that with the anxiety and stress of the vets office.
Now, to issues that aren't caused by people. Dogs have real reasons to feel anxious and stressed at the vet. You have a bunch of strange new faces, smells, and sounds. It's very overwhelming. Their natural instinct is to interact with the other dogs, which you don't and shouldn't allow, so their blocked there. There are other dogs misbehaving and making all kinds of noises they shouldn't be. All of these things, not to mention the physical pain they experience at the hands of the vets with shots, fecal check, and working on injuries, cause all kinds of emotional and physical discomfort.
Just think of how you get nervous going to the doctor. You worry about how much it's going to cost to fix what's wrong with you, is it terminal, will they find something unexpected, are the sick people around me gonna throw a germ on me, will the exam hurt, are they going to judge me based on my weight or looks, etc.... And you're a human who can rationalize what's going on. I'm sure you've been in a situation at some point where you had a responsibility thrown onto you and you were expected to try to get it done even if you don't think you have enough training or knowledge about it. That kind of anxiety, probably multiplied is what they feel.
So you can see how a negative association can be formed. You can probably get around it by having more positive experiences than negative ones. Like how 99% of the time that I load my dogs up, we go somewhere fun, so I never have to fight to get them loaded to go to the vet. You can ride your dog up there several times a year, sit in the waiting room for a bit, then go in a room and have a vet tech hand them a treat when you put them up on the table. You can probably take them to the waiting room for free. You also might not be able to get in a room, depending on the vet and how things are set up and how busy they are. They might also charge you a small fee for their time if they come into the room with you. It's something you'll have to ask your vet and see how much time and energy you want to put into it. With most dogs, they don't have a super long life expectancy and most dogs will only have to deal with the trauma of a vet 10-12 times in their whole life.
You can do things to reduce their stress even if you don't want to take them up there for training runs. You can go first thing in the morning. If you go, even no a Saturday and you're there when they open up, chances are you'll be in a room within a half hour and that no more than a handful of people will show up. This will allow you to space yourself out from the other people and the noise and stress will be down with the lack of animals and the fact that they clean at night before going home.
Lastly, just as a related note and a point I'd like to bring up with anyone reading this, I encourage you to say something to your vet if you observe anyone letting their animals leave their immediate vicinity or letting them interact. Earlier this year, I observed some people with a jack Russell like dog on a retractable leash (which I don't like either) and they were letting it run out the line in a crowded room. I saw it run under two rows of seating and bite a dog that was lying down facing the other way, minding it's own business. Even if peoples dogs aren't aggressive, the best outcome is that no one fights or gets hurt. The options only go down from there. The dogs have no reason to interact and won't ever be let off leash together. They need to be kept contained near their owners for everyone's safety. That will really cause your dog to dislike the vet if they feel like they'll be attacked when they go in. It's also been seen many times that getting attacked once can cause dogs to become aggressive as a preemptive retaliation. I hope this has helped answer your question.