This is not true. If you are poor (actually poor), there are so many government grants and scholarships for low income students that it's much easier financially than if you are middle class.
If you are middle class, your parents frequently have to give up half a year's salary to help pay. Good luck going to college if you're not a top tier student and your parents refuse to help pay tuition.
Availability doesn't automatically lead to discoverability or accessibility. Most grants require a ridiculous amount of paperwork and the ability to navigate a complex bureaucracy, which poor families have neither the time nor the skill for. A lot of the parents in poor families work multiple jobs. Some barely speak English.
http://www.pewresearch.org/fact-tank/2014/01/15/college-enro...
And note there are more low-income people than high-income people demographically.
This isn't true at all. I speak from personal experience.