From the title of your topic, it shows that you don't understand what wealth is all about. If not, you wouldn't say that you are wealthy and unsuccessful because all wealthy people are successful. Having a house is not a liability but an investment because you can be renting the house and get paid annually. You have also conquered shelter and wouldn't have a rent responsibility.
an individual with abundant material wealth, such as a great deal of money and valuable possessions
A wealthy person is an individual with abundant material wealth, such as a great deal of money and valuable possessions.
The OP has probably used the term "wealthy" in a different sense, trying to say that he is wealthy because he doesn't have any debt or liabilities, and is free to choose what he wants to do instead of being a corporate slave, but he actually didn't specify the things very well, and that's the reason why most of us are getting confused with his terms and how he described everything.
You can't call yourself wealthy and unsuccessful at once, it's true, because you can't be wealthy if you are unsuccessful, and you can't be called unsuccessful if you have wealth, and if you are trying to say that you are wealthy because you are doing what you want to do in your life, and unsuccessful because you don't have a house or a car, then you should know that you are basically still struggling in life, and you are not wealthy or successful.
Someone who is wealthy should have every necessity of life, and I don't think that not buying a house because you want to use the money for investments or businesses means that you are wealthy, you are basically not wealthy if you don't have enough money to buy a house and also do business simultanously.