IcePack ATC refuse deviations que! ATC or CB ? Mayday I'm deviating. Having said that I have never been refused point blank.
Then I assume you never fly in China airspace.
In extremis, yes of course, a PAN or even MAYDAY may be your last resort. But most pilots are reluctant to do that, rather than attempt to negotiate a compromise with ATC.
Because 'going nuclear' might cost you your job and/or your freedom in some parts of the world. Hard choices for sure. That's why we get paid such BIG BUCKS.