Does "nut (consumption)" refer to the fruit as in attached picture?

I'd say so.

Although, in usual language, we wouldn't refer to the nut as a seed (or a fruit). It's refered to simply as a nut.

www.dailymail.co.uk/health/article-2510972/Handful-nuts-day-lower-death-risk-cancer-heart-disease-fifth.html

The picture was just to use as a sample of different kinds of nuts. I suppose the article was more specific as to what particular kind of nut was most beneficial.

Isn't the Daily Mail absolutely cancer obsessed? Or think their readers are?

Does this nut specifically refer to:



?

I'm sure not.

First of all, those are peanuts, which, although called a nut are actually a legume.
They are still healthy, people think of them casually as nuts (in the United States we eat a lot of peanut butter, a spread made of ground up peanuts), but they are not actually a nut.

In your link, in the picture below, it shows almonds, which are a nut.

In your original picture, the nuts are cashew, pecan, hazelnut, and I think a brazil nut and an almond.

I think them ain't no legumes, i think they is peas . . . goober peas . . .

You're a goober.

I remember some said peanuts are actually beans.

Yes.

"A nut is a fruit composed of a hard shell and a seed ..."

"A nut in cuisine is a much less restrictive category than a nut in botany, as the term is applied to many seeds that are not botanically true nuts. Any large, oily kernels found within a shell and used in food are commonly called nuts."

http://en.wikipedia.org/wiki/Nut_(fruit)

If they are they are still legumes.

Beans are legumes.