Most streaming does some batching. If you stream audio from a live source, you batch at least into "frames", and you batch into network packets. On top of that you might batch further depending on your requirements, yet I would still count most of it as "streaming".
Only if you ignore that streaming streams data in records. The creation of a record (or struct, or whatever term you want to use) is not "batching". Otherwise any 32-bit word is a nothing more than a batch of four bytes, and the entire distinction instantly becomes meaningless.
An audio stream can easily be defined as a series of records, where each record is a sample spanning N seconds, probably as provided by the hardware. Similarly, a video frame can also be considered a record. As soon as a record becomes available, it is sent. Thus, streaming.
Optimizing to fully utilize network frames can generally be considered a low level transport optimization, and thus not relevant to the discussion.
