  We show that the morphism $\Omega$ from the $\imath$quantum loop algebra
$^{\texttt{Dr}}\widetilde{\mathbf{U}}(L\mathfrak{g})$ of split type to the
$\imath$Hall algebra of the weighted projective line is injective if
$\mathfrak{g}$ is of finite or affine type. As a byproduct, we use the whole
$\imath$Hall algebra of the cyclic quiver $C_n$ to realise the $\imath$quantum
loop algebra of affine $\mathfrak{gl}_n$.
