  An automorphism $\theta$ of a spherical building $\Delta$ is called
\textit{capped} if it satisfies the following property: if there exist both
type $J_1$ and $J_2$ simplices of $\Delta$ mapped onto opposite simplices by
$\theta$ then there exists a type $J_1\cup J_2$ simplex of $\Delta$ mapped onto
an opposite simplex by $\theta$. In previous work we showed that if $\Delta$ is
a thick irreducible spherical building of rank at least $3$ with no Fano plane
residues then every automorphism of $\Delta$ is capped. In the present work we
consider the spherical buildings with Fano plane residues (the \textit{small
buildings}). We show that uncapped automorphisms exist in these buildings and
develop an enhanced notion of "opposition diagrams" to capture the structure of
these automorphisms. Moreover we provide applications to the theory of
"domesticity" in spherical buildings, including the complete classification of
domestic automorphisms of small buildings of types $\mathsf{F}_4$ and
$\mathsf{E}_6$.
