Before revision:  Uniform OPE \sup_\Pi|Q^\pi-Q^\pi|<\epsilon (initiated by Yin et al. 2021 ) is a stronger measure than the point-wise (fixed policy) OPE and ensures offline policy learning when \Pi contains all policies ( we call it global policy class).
After revision:  Uniform OPE \sup_\Pi|Q^\pi-Q^\pi|<\epsilon (initiated by Yin et al. 2021 ) is a stronger measure than the point-wise (fixed policy) OPE and ensures offline policy learning when \Pi contains all policies ( global policy class).