DuckDB borrows code from HyPer DB which looks like a in-memory hybrid OLTP/OLAP clone of SAP HANA. They did not discuss any hybrid OLTP/OLAP implementation details in the video so the borrowed HyPer code may only be the wrapper for the PostgreSQL parser.
Desktop column stores do have a precedent in the enterprise market. Microsoft's first attempt at a column store started with embedded integration with PowerPivot and eventually made its way into SQL Server. Sybase IQ, built on zero-admin SQL Anywhere, has been used as a local column store for Pivot Table applications (think BusinessObjects, Cognos, Tableau, QlikView, and Excel Pivot Tables). Pivot Table integrations are typically custom-built for each data warehouse vendor or MDX/XMLA driver.
DuckDB is focused on integrating with the desktop data science platforms R and Python (dbplyr and pandas). Analytics/OLAP in SQL means lightning fast GROUP BY queries and more recently SQL OLAP Windows. "SQLite for Analytics" confused me but that is probably due to my own historical mental clutter. The name DuckDB refers to a pet duck and not the duck typing system in SQLite.
In a nutshell, it's a file-per-database embedded DB like SQLite, and it's installable as a Python or R package from PyPI or CRAN, but unlike SQLite, it's a column store with vectorized operations so it's more performant for analytical queries.