Final answer:
The false statement is that cohesins between sister chromatid arms are cleaved at anaphase I to allow homologs to separate, when in fact, this occurs at anaphase II.
Step-by-step explanation:
Regarding the role of cohesin protein in maintaining cohesion between sister chromatids, the false statement is that cleavage of cohesins between sister chromatid arms at anaphase I allows homologs to separate.
In fact, during meiosis I, cohesion holds sister chromatids together along their lengths as chiasmata form between homologs, and this cohesin is not cleaved until anaphase II. It is important to understand that during meiosis II, after the dissolution of cohesin proteins between homologous chromosomes, it is the remaining cohesin at the centromere that keeps the sister chromatids together until they are separated at anaphase II.