I found the paper that triggered this thread.

SSRN: Research paper

The issue seems to be if BRK would be impacted to help bail our failed PE owned life insurance firms. The paper states:

Unlike ordinary firms, life insurers do not pass through bankruptcy when they fail. Instead, when a life insurer becomes insolvent, state-based guaranty funds protect insurance policyholders by "assessing" surviving insurers to cover the shortfall. In most states, such outlays are fully creditable against state premium taxes over time, transforming an ostensibly industry-funded system into a public backstop.

If I read this correctly, it is surviving LIFE insurers that are assessed. Since BRK represents less that 1% of the US life insurance business, that should mean that any impact on it would be negligible.

Further, digging into the paper, the authors conclude from regulator stress testing that bad loan losses would have to exceed 15% before any such bailouts would be triggered.

While the paper demonstrates that there are many potentials for abuse by PE firms in terms of investing insurance float, a number of these will be impacted by new, much more severe, regulations coming into effect in 2027. These are already causing PE firms to have to significantly increase capital reserves to meet the new requirements. (see prior post 20984). One evidence of this is that PE firms have greatly reduced the ability of their investors to withdraw funds - demands far exceeding the levels being permitted.

It's a good paper and demonstrates that while still more PE regulatory oversight and certain law changes would be in the public interest, at least significant progress is being made.

I believe we can ignore any impacts on BRK.