The certificate update only needs to be done on the actual servers connecting to APNs. We cannot say whether your provider is supplying with a server to send pushes from or this is a service they provide. If you are responsible for the push server that directly connects to APNs, then you need to make sure the certificate is updated.
While presumably push service providers will be taking care of this, it is ultimately your responsibility to confirm this with your push provider to make sure your production pushes are not interrupted.
Argun Tekant /
DTS Engineer /
Core Technologies