As to who should share in the cost… my take is that it’s time to discuss whether some expeditions (e.g. risky commercial tourist rides) should sign a Do Not Rescue pledge before they head out and/or self-fund a commercial rescue operation.
It's just better that they call right away rather than wait too long and die.
If you search around on the internet, you can find people writing this up in much more detail and more eloquently.
But the considerations for something like this are pretty much entirely different, risk to non-technical rescuers is pretty minimal and the costs are just gas and the time spent on what is essentially just an unplanned hike with some extra gear.
I'm sure this is rare though.
https://npca.s3.amazonaws.com/images/11275/93882d38-5217-4aa...
https://preview.redd.it/mx98brhdszg71.jpg?width=960&crop=sma...
> We will serve our Nation through the selfless performance of our missions.
> We will honor our duty to protect those we serve and those who serve with us. [1]
In answer to your question: No. That's what taxes are for.
There could be other legal penalties if the SAR mission is prompted by negligence or illegal activity but the Coast Guard doesn't chase anyone down for operating costs.