jim mcnamara said:
This discusses populations at risk with respect to vitamin b12. Vegans included.
http://www.aafp.org/afp/20030301/979.html
Which is what I guess you are talking about, since you mentioned vegans, and they are a population at risk for B12, and protein deficiency problems. Most of do indeed seem to be aware of this.
So, then, aside from the super-diet-conscious types, who probably do not need to be on low calorie diets anyway, your hypothesis is:
"populations on lowfat diets tend to eat more calories in search of nutrient [X]"
Could you fill in the [X], please?
If I could do that, I'd write a paper on it

However, fat is a fairly balanced protein source.
If all you do is substitute "fat free" products into your diet I suspect you could easily develop an unbalanced protein intake.
I might think that people would overeat to make up the missing required ingredients.
Is there anything to this?
The study I posted a link to suggests that the common perception of "healthful" low cholesterol diet seems to be somewhat suspect as the better cholesterol response occurred with the counter intuitive diet.
What actual support is there that reducing fat in your food intake reduces cholesterol?
Particularly for people without an actual genetic complication.
I don't think I have ever come across anything concrete in this line.
Calorie restriction itself should probably lower cholesterol by itself.
From a purely qualitative perspective.
I notice that the people I know who are the most into the common perception of a low cholesterol diet have become the most overweight.
Is it cause or effect here?
I was part of one of the original cholesterol baseline studies.
So I had some idea of my cholesterol level, and what it meant, even though it was probably another 10 or 15 years before a general cholesterol test became available.
I never changed my overall diet and think that low fat products taste simply awful.
While people keep telling me that my diet will kill me, testing indicates my levels are just fine being around 112 LDL and 185 total. The Doc says my weight is excellent.