What else (besides the usual) can be said about a Scott Information System if the constructed domain is required to be Hausdorff?
Since the least element $\bot$ of any Scott domain is a compactification point $-$ the only open set containing it is the whole space $-$ the Scott topology is never Hausdorff, unless it is trivial.

An information system $(A,Con,\vdash)$ induces a trivial domain iff it is itself trivial: $Con = \{\emptyset\}$.  Otherwise, there exists at least one point above $\bot$.

The total elements of the Scott domain can indeed be given their own topology sometimes, which may be $T_2$ or even metrizable.