In reply to crayefish:
Wow, pitons...I haven't thought about these issues for forty years.
BITD in the US when we were transitioning from all-piton racks to nuts, it was fairly typical to carry a few pitons on back-country climbs. I think I carried the three BD short sizes and a 3/4" angle in places like the Wind River range in Wyoming.
The short sizes are definitely not just for aiding, they've held all kinds of nasty leader falls. The long sizes in an appropriate crack are likely to be stronger, but the short ones are strong enough.
Here's the rationale for the short sizes: it isn't quite true that you can get the same thing by tying off the long ones. The final thickness on the short and long sizes is (or used to be) the same, the long ones just taper more slowly. So if you have a thick-width crack that bottoms, none of the long pitons will work, the long thick will bottom out before you get to the necessary cross-section and so will be loose. Consequently, the short-thin, short-medium, and short-thick give you a wider range of placement options then the long sizes tied off.
As mentioned above, the anticipated rock structure matters. Deep cracks with little internal variation, such as one finds in Yosemite granite, are where the long pitons shine. Hard rock with cracks that are internally irregular, like much of the limestone I've seen, is more suited to the short sizes; the long ones will bottom out and as I've said the ability to tie them off doesn't mean you'll have something that ends up fitting. However, if the rock is chossy enough (Canadian Rocky limestone comes to mind), the long piton may work better because after bottoming it just blasts its own hole in the crack. Of course, the ensuing destruction is what energized the "clean climbing" movement in the US forty years ago.