WASAPI by itself uses the OS to “process the signal” and then send it the the audio interface.
Where WASAPI-ASIO would send it directly to the interface without the OS needing to process it first.
Which would theoretically mean an unmodified/unprocessed signal to the interface device.
I would tend to believe that the ASIO would be the one to use.
However, this really boils done to, which one sounds best to you.
(Smoke me a kipper, I'll be back for breakfast!)
Just try them all and let your ears be the judge, no better test IMHO