Define uninsurable. In present world that means that someone will bet a lot of money nothing bad will happen to you, and you will pay them for long to keep that bet on. And that will work for that someone because the kind of bad things they give money for should be extremely rare, its like a reverse lotto. But if things become not so rare, or the unexpected rare events affect at once too much people, then becomes not so profitable for them.

But that doesn't mean that the concept may still be valid for the end user in a way or another, just that in the other end you may have a different kind of actor or mitigation of risk. That those events become far more common is not random or an act of some god, i.e. taxes for fossil carbon usage or other economic action towards those actors meant to have a fund for those cases. Or having a personal saving plan instead of giving that money to someone else, that in average may work better for most. Or force insurance companies to keep playing even when the odds are not so extremely favourable for them.