I've responded to your other question on relating to sidhistory permissions.
When migrating resources between domains or forests sidhistory should be viewed as a temporary mechanism to simplify the migration and not the solution. Using Sidhistory to access migrated resources, provides a buffer to complete the re-permission of the resources based on the new target domain users and groups and then it should be removed.
At some point you will need to complete the re-permissioning of the resources to include the new target SIDs, the question you need to answer, do you use sidHistory and re-permission later, or don't use sidhistory and re-permission resources in the source domain before they are moved to the target domain.
I have completed numerous domain migrations and I have only used Sidhistory once on the first one and never again. Sidhistory works but it hides issues with resource access and you only find these issues once sidhistory is removed, which is normally at the end and in a big bang fashion but it doesn't get removed due to timeline or risk appetite and so its just left in place. I can't remember how many domains I've seen where sidhistory still exists for migration were completed years ago.
Gary.