Since Native Access does not display the latest version's changelog automatically, our partners from Native Instruments were kind enough to shed some light on the topic. Here is a pretty easy and useful workaround:
 

1. Temporarily rename the parent folder where the library is currently located, e.g from "Afflatus Chapter I Strings" to "____Afflatus Chapter I Strings"

2. Open Native Access

3. now rename the folder back again to the original name, i.e. "Afflatus Chapter I Strings"

4. Hover over the "Repair" text ->

5. Click "Relocate" and choose the original folder again.

Now 1.3 should be displayed as the library's current version, along with a complete changelog of the most recent update of AFFLATUS Chapter I Strings. 

Have fun and until the next time!