Author here! I used the world slippy, possibly out of context, to refer to a generic map using remote vector or raster tiles.
Maybe it's easier to define what I don't mean by a "generic slippy map": https://play.abstreet.org/0.3.37/abstreet.html
This website is effectively a very powerful game engine (written in Rust and compiled to wasm) running in the browser - I can't easily add a GeoJSON ovrlay, or geolocation, or other web map patterns.
The "street explorer" demo (https://a-b-street.github.io/osm2streets/#18.37/-33.88071/15...) loads a slippy map (OpenStreetMap) and then loads in a debug segment of the map data.