In this brief note, we first give a counterexample to a theorem in Chernikov and Towsner, arXiv:2510.02420(1). In arXiv:2510.02420(2), the theorem has changed but as we explain the proof has a mistake. The change in the statement, due to changes in the underlying definition, affects the paper's claims. Since that theorem had been relevant to connecting the work of their paper to Coregliano-Malliaris high-arity PAC learning, a connection which now disappears, we also explain why their definitions miss crucial aspects that our work was designed to grapple with.

翻译：在这篇简短的评注中，我们首先针对Chernikov与Towsner在arXiv:2510.02420(1)中的定理给出一个反例。在arXiv:2510.02420(2)中，该定理的表述已作修改，但正如我们所指出的，其证明过程存在错误。由于基础定义变更导致的陈述变化，影响了该论文的核心论断。鉴于该定理原本关联着其论文与Coregliano-Malliaris高元PAC学习理论的工作——这一关联现已不复存在——我们进一步阐释了为何他们的定义未能涵盖我们研究工作旨在解决的关键要素。