Funny, these experiments never involve putting expensive wine in both bottles.
In the experiments with white vs red I've heard of, the tasters described the tinted wine with adjectives generally used with red wines.
It's all very subjective. Do they use "red wine" adjectives because the wine looks red or because of it's taste characteristics.
... or have your senses fooled by false expectations. Have someone try it on you. I mentioned this article at work, and one of the more experienced wine drinkers in the office immediately went "oh, yes, I had someone fool me with that".
The thing is, even when we can taste the difference between two things when our expectations aren't being manipulated, a lot of that ability goes straight out the window when someone messes with our biases. Messing with peoples expectations about taste is one of those things childrens TV has been doing for decades for fun, because it's one of those things that always delights, and it's trivially easy to do.
In this case, give these same students a closed container and ask them to distinguish the red from the white wine, and I'd be very surprised if any of them had any problem.
What is being tested here is not their taste, but how taste can be overridden by expectations.
I could not believe it, but I visited a winemaker recently in Burgundy, and asked the guy what he thought of this experiment. And he confirmed it, in a blind test, he and a lot of people can't distinguish red from white wine.
I would find it sadly ironic if someone like me could pass the red vs white test simply because our taste buds are screwed up.