The "Google Boxes" you mention won't allow you to increase your site's ranking, unless it's already up there in the top ten. Very different from Google bombing, which can bring an
unknown site to the top.
As you pointed out and can be read about originally here, each site A which links to a site B increases B's ranking by a small amount, but doesn't affect A directly.
A's own ranking can only be affected positively if there are loops of the form A->B->some other sites->A, and the smaller
the loop, the higher the effect on A. That's because all sites within the loop are affected, with decreasing benefits.
The most affected site will be B, followed by B's successor, followed by B's successor's successor, etc, up to A, who gets a very small boost if the loop is large.
The total increase in A's ranking is a result of adding the small increases for all possible loops.
Now suppose you're an unknown site. Nobody links to you, but you decide to link to the top ten. Since these don't link back to you, or in a very very roundabout way, you'll get zero benefit from your Google Box.
Now suppose you're a top ten site, and half the top ten sites link back to you directly.
If you link to each of them, you'll get a relatively large boost to your own ranking back
from each of them, hence a noticeable increase. But if you had already linked to all of
them before, you won't get any benefit, since I believe Google counts multiple links to the same page as one.
You'll note that the bit which allows you to increase your site's ranking requires lots
of links, just like in Google bombing. If you've read so far, I think you'll agree that
Google bombing is the better technique (which, for the record, I don't condone).