For multi-unit housing a cash-poor leveraged property owner sounds like a likely slumlord, so I'd be happy to discourage that situation. More, less-leveraged, property owners instead sounds good.
For owner-occupied, it sounds like someone who made a risky financial decision because of perverse incentives. Which also seems good to revisit.
Also in these cases cash-poor is not low-income. It's likely to be high-income+high-obligations the way you describe it. Hard to get all that leverage otherwise.