  We give two proofs to an old result of E. Salehi, showing that the Weyl
subalgebra $\mathcal{W}$ of $\ell^\infty(\mathbb{Z})$ is a proper subalgebra of
$\mathcal{D}$, the algebra of distal functions. We also show that the family
$\mathcal{S}^d$ of strictly ergodic functions in $\mathcal{D}$ does not form an
algebra and hence in particular does not coincide with $\mathcal{W}$. We then
use similar constructions to show that a function which is a multiplier for
strict ergodicity, either within $\mathcal{D}$ or in general, is necessarily a
constant. An example of a metric, strictly ergodic, distal flow is constructed
which admits a non-strictly ergodic $2$-fold minimal self-joining. It then
follows that the enveloping group of this flow is not strictly ergodic (as a
$T$-flow). Finally we show that the distal, strictly ergodic Heisenberg
nil-flow is relatively disjoint over its largest equicontinuous factor from
$|\mathcal{W}|$.
