Dear Addams,
Append appendVisitorIDsTo Function is the only method I would say that can persist the visit from one domain to another domain when the browser blocks the third party cookie. Check out my take on Google Recent announcement to 'phase out' third party cookies on Google Chrome and its impact on Adobe Analytics Cross-Domain Tracking: Reference Link. This might give you a clear idea!
So, use the method and go ahead with your implementation.
Thank You, Arun.