There is a significant difference in incentives, though. How many well-to-do people get evicted? Not a lot. And if they do, they can probably afford a higher deposit on their next apartment to offset the perceived risk. And they probably have the money to pay market rate, or above market rate, to get somewhere to live. And even if they can't find something fast, they can probably afford to get a hotel or an AirBnB for a little while so they have somewhere to sleep at night. They will likely keep their job through an eviction to maintain a stable employment record.
People living in poverty don't have those luxuries. Their chances of having an eviction record are higher. Their ability to pay a higher deposit are drastically lower, since just staying alive consumes basically all of their paycheck. The chances of them being able to pay above market rates are basically nil; their chances of being able to pay market rates are not great. If they get evicted, there is a significant chance they end up homeless. There is a significant chance their new circumstances will result in them losing their job as they struggle to find somewhere to live, because priority 1 is not sleeping in a shelter (which I absolutely understand). To add on to that, they might have children who also follow them into their new circumstances. 28.9% of children below 50% of the federal poverty line experience an eviction before they turn 15, and 25.6% of children between 50% and 100% of the federal poverty line experience an eviction before they turn 15.
All of which is to say, the possibility of eviction is far more threatening to people living in poverty. Their lives are not cushy even when they have stable housing. I can absolutely understand that losing their housing could be the straw that broke the camel's back, and they lash out irrationally. I don't think they suck. In fact, they're probably stronger than I am, I don't think I could endure the things they deal with on a daily basis. But I also don't discount the possibility that they react more vehemently to losing their housing than someone who has less to lose.
This is a situation where I think the private sector does a poor job of handling the situation. In a market where there is perpetually more demand than supply (who has a housing glut, other than Detroit?), there is always going to be some bottom percent of less profitable potential buyers who get screwed. For non-necessary goods, this is fine, but not for housing. I don't think any first world countries should have citizens that have persistent worries about how long they will have a roof over their heads.