A "quality person" sounds a bit odd to me, and I wouldn't personally use it.Can 'quality person' also mean a person who is loyal, helpful, honest, respectful, caring, courteous, etc.? In other words, a good person?
I don't think I've ever seen "quality" used like that, although I'd agree that the meaning is fairly easy to deduce. I'd expect to see something like "genuine" in that context, but I daresay it might work for other people.How about this sentence? Is the context clear enough?
When dating, most people ultimately want to find a quality person rather than just a pretty face.