  We demonstrate that it is not necessary to assume Liggett's condition in
order to obtain convergence of the open ASEP stationary measures to the open
KPZ stationary measure. This is equivalent to demonstrating that, under weak
asymmetry scaling and appropriate scaling of time and space, the four-parameter
Askey-Wilson process converges to a two-parameter continuous dual Hahn process.
We conjecture that the convergence of the open ASEP height function process to
solutions to the open KPZ equation will hold for a wider range of ASEP
parameters than those permitted by Liggett's condition.
