Time Machine will back up to as many backup disks you provide for its use, in "rotation". First one, then the next one, and so on. If one disk is unavailable it searches for the next one.
I wonder if I want to restore the whole system for full restore; both have the full backup, and can be used and perhaps only for latest changes it may need the other disk.
If you want to restore a backup, you get to choose which backup to restore. The disk it happens to reside on doesn't matter; just the backup date / time. Only the disk with that backup needs to be available.
For example if you want to restore the latest backup, and the disk with that backup does not happen to be connected when you want to restore it, connect it first. To be completely accurate, the latest backup is always on the source disk, which can also be restored if you wish. Those "local snapshots" are complete and fully restorable system backups. In that case you don't even need any of the external disks. Obviously if the reason for needing to restore a backup is to replace a failed source disk (startup disk) on a replacement startup disk or a replacement Mac, then it won't be available.
Probably more information than you wanted, but having more than just one Time Machine backup disk is a very good backup strategy.