Let $S$ be an Artin stack of finite type. We assume that it contains a point as an open dense.
Is it always true that the mapping stack:
$Hom^{0}(\mathbb{P}^{1},S)$
which consists of sections generically in the pt, is a scheme?
It works for $[\mathbb{A}^{1}/\mathbb{G}_{m}]$ or $[M_{n}/GL_{n}]$, both acting on the left.