I've see replies take a while to populate.
In case others didn't see the reply - I suggested posting this to a Microsoft forum because user and system SID generation is a Windows function. I don't think there's anything in Fusion that will help you change system SIDs to a given value because Microsoft generates a random system SID for any installation. And user SIDs are under the control of Microsoft as well - unless you can find a utility that will let you export an entire profile (including registry entries).
Microsoft doesn't make changing to a new system easy, even in the physical system world. Especially because they don't provide tools for Intel to ARM migration other than moving files around.
I suspect that the software vendor is no longer willing or able (e.g. they're out of business) to provide a new license for a new machine? Or that they would want you to upgrade to a newer version at a cost to support newer Windows operating systems. Tying licenses to specific hardware is pretty draconian and unfriendly behavior, IMO - and not providing an easy way to move it is even worse.