A publisher wants to share the omniscript with a subset of partners through the experience...

When partners report not seeing changes in the Experience Cloud site, the administrator should consider several factors to troubleshoot the issue. Firstly, ensure that the page variation containing the OmniScript is published (B). An unpublished page variation will not be visible to users. Secondly, check if the latest version of the OmniScript is enabled(C), as older versions may not reflect recent changes or functionalities. Lastly, verify that the audience for the page variation is correctly defined and assigned (E). The audience settings determine which subset of users can view the page variation. Incorrect audience assignment can lead to visibility issues for intended users.References:

https://help.salesforce.com/

https://developer.salesforce.com/docs/atlas.en-us.omniscript_best_practices.meta/omniscript_best_practices/omniscript_manage_versions.htm

https://help.salesforce.com/articleView?id=networks_customize_pages_for_audiences.htm