It's one of question which differs from person to person. How do you define richness?
For me, being rich is having money, and being wealthy is having time, so between the two I prefer to be wealthy, some rich people have no time for healthy relationships, and do not have time to be themselves and find peace, you can have all the money in the world but if you do not have time to your family and your time is invested to make more money you lack the quality of life and that's money cannot buy.
Rich is associated with having so much money and afford to buy anything and live a lavish lifestyle, I have seen lonely people rich people regret that they've spent all their time making a lot of money and straining their relationships with other people, so for me rich is not only having money but having a good relationship to your family to your fellowmen and your creator and having a contented life.
People in different situations will have a different mindset about what being rich means. Someone who doesn't have money would say that they are ready to make any sort of compromise in their lives only to have a lot of money, even if it's about getting away from their family and friends, on the other hand, those who have a lot of money and make a lot of money but don't have any real friends or relationships will think that they will give away all their money only to have these things.
Life isn't fair to everyone, and one cannot have everything they need or want in their life. Even if you get all the wealth and everything in the world, there will still be an unfilled spot somewhere in your life after all that you have, and no matter how hard you want, you won't be able to fill that spot at all.