Yes it does. Flying is a privilege, not a constitutional right, or any other kind of right.

And it's a tough spot because a legit due process refusal to testing may save you from a criminal conviction, but at the same time give the FAA grounds to revoke your tickets.

Comply with the testing to save your tickets, and you might give LE all the ammo they need to convict! Tough call.

Better just to not show up drunk (then the blood test should be safe enough if they ask for it).