Notice of merchant changing networks do I have to update my links?

If you are using Skimlinks to affiliate traffic to a merchant and they are changing affiliate network there is nothing that you need to do. 

As long as the merchant continues to have an affiliate program in a network linked to Skimlinks there is nothing that a publisher needs to update. 

The only reason a publisher would need to update would be if they are linking to the merchants affiliate program through the network directly. In that case you may want to consider using Skimlinks so this is no longer a problem for you to think about.