As you know, Kappa architecture is some kind of simplification of Lambda architecture. Kappa doesn't need batch layer, instead speed layer have to guarantee computation precision and enough throughput (more parallelism/resources) on historical data re-computation.
Still Kappa architecture requires two serving layers in case when you need to do analytic based on historical data. For example, data that have age < 2 weeks are stored at Redis (streaming serving layer), while all older data are stored somewhere at HBase (batch serving layer).
When (due to Kappa architecture) I have to insert data to batch serving layer? If streaming layer inserts data immidiately to both batch & stream serving layers - than how about late data arrival? Or streaming layer should backup speed serving layer to batch serving layer on regular basis?
Example: let say source of data is Kafka, data are processed by Spark Structured Streaming or Flink, sinks are Redis and HBase. When write to Redis & HBase should happen?
If we perform stream processing, we want to make sure that output data is firstly made available as a data stream. In your example that means we write to Kafka as a primary sink.
Now you have two options:
Late events
Now the question is what to do with late data. The best solution is to let the framework handle that through watermarks. That is, data is only committed at all sinks, when the framework is sure that no late data arrives. If that doesn't work out because you really need to process late events even if they arrive much, much later and still want to have temporary results, you have to use update events.
Update events
(as requested by the OP, I will add more details to the update events)
In Kafka Streams, elements are emitted through a continuous refinement mechanism by default. That means, windowed aggregations emit results as soon as they have any valid data point and update that result while receiving new data. Thus, any late event is processed and yield an updated result. While this approach nicely lowers the burden to users, as they do not need to understand watermarks, it has some severe short-comings that led the Kafka Streams developers to add Suppression in 2.1 and onward.
The main issue is that it poses quite big challenges to downward users to process intermediate results as also explained in the article about Suppression. If it's not obvious if a result is temporary or "final" (in the sense that all expected events have been processed) then many applications are much harder to implement. In particular, windowing operations need to be replicated on consumer side to get the "final" value.
Another issue is that the data volume is blown up. If you'd have a strong aggregation factor, using watermark-based emission will reduce your data volume heavily after the first operation. However, continuous refinement will add a constant volume factor as each record triggers a new (intermediate) record for all intermediate steps.
Lastly, and particularly interesting for you is how to offload data to external systems if you have update events. Ideally, you would offload the data with some time lag continuously or periodically. That approach simulates the watermark-based emission again on consumer side.
Mixing the options
It's possible to use watermarks for the initial emission and then use update events for late events. The volume is then reduced for all "on-time" events. For example, Flink offers allowed lateness to make windows trigger again for late events.
This setup makes offloading data much easier as data only needs to be re-emitted to the external systems if a late event actually happened. The system should be tweaked that a late event is a rare case though.