Not sure, but I'd say it is more of a matter of thorough diligence and future planning, not really about integrity. And, by that I mean planning for my mother's estate AND my step-father's estate and late-life financial planning, as their finances and estates are pretty separate.
She brought it up to me and asked how we should handle it. Since I am a broker, work with investments, etc. I was surprised to be stumped with how to handle it. Haven't heard of anyone addressing things this way other than life estate. Not sure a life estate adequately accomplishes the intended outcome, anyway.
My instinct is that I would keep the inherited house as a rental property, either after my step-dad passes away or chooses to move out; or, by renting it out to my step-dad for the rest of his life and, after his death, to other tenants. Regardless of my willingness to let my step dad stay for free, I may not be able to afford to do so without him shouldering some of the costs. I think that may be what my mother is hoping to iron out. Of course, some aspects of feasibility depend on how much is owed on the house, the mortgage payment, and amounts of life insurance benefit(s).
Does that clarify?