No, no, no. They have the job, you want it. That email comes across so arrogant that I would expect even the newest hiring manager to laugh and delete. Without even addressing the sour grapes attitude about coding interviews, the sheer arrogance with which you try to dictate someone else's process is a red flag in the first place. That, plus the fact that you're refusing to do what they want, is really bad for your c…
By definition, if they have a job, they want to fill it with a qualified person. Jobs aren't (usually) charities to the person working.