I would not classify the CX lineup as 'high quality'. I wouldn't call it low quality either. It is a middle of the road power supply that is perfect for people on a tight budget. The capacitors used are a little cheaper than say, the HX lineup.
Here is a good list that breaks down the power supplies into a nice 'tier' system. The CX is considered a tier 3 PSU
Tier three - Meets standard ATX specifications, though closer to the edges than Tier two units. These are still solid units, which still supply stable power to your system, though not ideal for serious overclocking
http://www.tomshardware.com/answers/id-1804779/power-supply-unit-tier-list.html
So I don't deter people from them all the time. I don't know the specs of this system in question. But the CX is never a PSU that I go out of my way to suggest, except on the tightest of budgets, and even then, I hesitate given there are almost always better alternatives.