Nope. Snapshots are a copy of the inode table. The term "base snapshot" does not apply to local snapshots.
There are lots of features that are based on these snapshots. One of these features is snapmirror, which is replication (sync or async) from one ONTAP System to another. After initiating a snapmirror (after the initial transfer is finished, that is) only the changed blocks are transmitted from the source to the destination. You can call this incemental. In order to figure out, which blocks have changed since the last transfer, the base snapshot is used. The base snapshot is the last common snapshot that resides on both source and destination. SnapMirror requires the common base snapshot to exist on both the source and destination volumes for updates.
Peter