Here, let me explain it. Maybe I didn't explain it well enough.
The elements cannot interchange, they CANNOT be given to any pony.
What we are certain of:
1-Elements are evil in this game (scum)
2-There are only four elements in the game- These elements are Loyalty (Rainbow Dash), Magic (Twilight), Laughter (Pinkie Pie), and Generosity (Rarity).
With this information we conclude that these elements are only associated with one type of pony. We are not going to see, for example, we are not going to have scum Twilight flip as the Element of Loyalty. The conclusion is that each group has one element. 1 scum per group.
Now, distribution... as Linkz and stefl are concerned with. Or rather, the possibility of a scum lie claiming. While I am not naive enough to completely dismiss the possibility, I don't think scum would further corner themselves by potentially causes an irregularity in the ratio of ponies in each group. If after the name claim we had 5 rarities for example and 2 Pinkie Pies, it wouldn't take a rocket scientist to figure out something isn't right in those groups- someone's lying. Since we had an even spread, it's very hard for me to believe that someone lie claimed.
As for switch claiming (ie two scum switching place)... that absolutely has no effect on how we would play our strategy. UNLESS, as Linkz put it, unless a suspect scum and a trusted scum switched hot seats to bail the other out... or at least that's how I understood it. And even that's still far fetched.