I didn't say "... same type of person would find that not owning anything would make them happy?" And considering you don't know me from a hole in the wall your implication that I have the perspective of a person with an obsessive personality disorder is pretty harsh.
Name calling aside, I said money is not the key to true happiness and implied that anyone who thinks that money can/does or will make them happy is living a fantasy. That's tatamount to saying finding the "perfect house" the "perfect car" or the "perfect wo/man" will make you happy. IT WON'T, ever. You might find transient satisfaction in those things/people, but in the end, if you are NOT happy with YOU, you'll NEVER be happy, period.
Happiness, true happiness, comes from within, period. Circumstances can impact your mood transiently, but to be truly content? That's all up to the person.
I've never, in my life, met a happy rich person, they are always looking for something better, angling for the best leverage, trying to get something from you, thinking you want something from them. I have met many people who were of average or below average income levels and quite happy. Yes, more money would make things "easier" in their lives, but they wouldn't be happier. The greatest satisfaction in life comes from surrounding yourself with those things you cannot buy or measure: a truely loving relationship, health, loving friends and/or family.
Money cannot buy happiness. It can buy objects, possessions, even an image. All of this can create the illusion of happiness, but if rich people were happy they wouldn't take drugs, need rehab, commit suicide, have affairs, get divorced or end up with adult children who are enormously emotionally/mentally screwed up.