Assigning a New Cloned Workflow Scheme to a Project With or Without Issue Migration

Hi everyone,
in a scriptrunner script that attempts to segment workflow schemes and workflows based on changes in naming and customizations, I generate a new workflow scheme with new workflows cloned from the originals but using different names.

What I want to determine next is whether it is possible to assign it to the project. There are no statuses changes because the workflows are clones of the originals, so should I assign the new workflow scheme to the project as is, or is it necessary to run some method to migrate the issues to the new workflows? The migration method I see is intended for cases where there are status changes.

Any guidance would be greatly appreciated, thank you.