When you need to import a new certificate, it's not enought to put the certificate in the right cert stores. You have to use the option "Import a certificate" in WPP. If you don't use this option, Wsus will not use the cert.
If you use a self-signed cert, this cert is tight to the server and can not be use by another server.
If you use a self-signed cert, this cert is tight to the server and can not be use by another server.