A thorough examination of the Google app for Android revealed possible plans to improve the Google Assistant feature. Those deep dives into the APKs aren't always accurate, and some features may be removed in future versions.
In any case, it's exciting to see Google take yet another significant step toward improving its smart assistant experience. If you opt in for a better Google Assistant experience, it appears that the system will save and analyse your own voice in order to provide more "Personalized speech recognition."
Storing and analysing one's voice will improve response time and accuracy because the Google Assistant will become familiar with the user's voice and commonly used words. The assistant will also have access to Google's servers, which will aggregate and analyse summaries of other users' speech models. The feature will most likely allow for more advanced command and contact name recognition.
Of course, due to privacy concerns, Google is expected to include a setting that allows you to opt out of personalised speech recognition if you don't want your voice to be stored anywhere.