I haven't heard of that being what threading is, but that threading is about shared resourcing and memory space and not any special relationship with the scheduler.

Per the wiki:

On a multiprocessor or multi-core system, multiple threads can execute in parallel, with every processor or core executing a separate thread simultaneously; on a processor or core with hardware threads, separate software threads can also be executed concurrently by separate hardware threads.

https://en.m.wikipedia.org/wiki/Thread_(computing)

I also think you might be misunderstanding the relationship between concurrency and parallelism; they are not mutually exclusive. Something can be concurrent through parallelism, as the wiki page has (emphasis mine):

Concurrency refers to the ability of a system to execute multiple tasks through simultaneous execution or time-sharing (context switching), sharing resources and managing interactions.

https://en.m.wikipedia.org/wiki/Concurrency_(computer_science)