If the goal is redistribution, then using accurate risk data as a starting point seems preferable.
No, risk assessment and/or management is an internal operational concern.
The goal of insurance providers, home or otherwise, is to charge fees such that the insurer collects as much revenue as possible while simultaneously expending as little as possible to remedy claims.
Any justification legally available to an insurer supporting denying or reducing a claim will be employed.
(no, this is not some hippie collective thing, in many countries this is the norm, see https://en.wikipedia.org/wiki/Mutual_insurance)
It's a common misconception that co-operatives/mutuals somehow don't need to make money or will actively try to not make money, but in reality if they don't they tend to die fairly quickly.