AFAICS this has nothing to do with "open-source personal AI engines".

The recorded history is stored in a SQLite database and is quite trivial to examine[0][1]. A simple script could extract the information and feed them to your indexer of choice. Developing such a script isn't the task for an internet browser engineering team.

The question remains whether the indexer would really benefit from real-time ingestion while browsing.

[0] Firefox: https://www.foxtonforensics.com/browser-history-examiner/fir...

[1] Chrome: https://www.foxtonforensics.com/browser-history-examiner/chr...