Defining wealth

Wealth is the power of exchange. Once you realise we live in a trade economy and that you cannot survive alone, you'll realise the power to extract goods from people is the absolute most important power. In certain periods of history, this power was manifested in whoever had the biggest spear. Then came guns. Today this is manifested in money, or what we call wealth.

This is what differentiates us from lower intelligence beings.
Wealth - it is such a broad construct that can encompass:

Financial - living off your assets/passive income flows
Relationships/Networks - healthy positive relationships with others
Health - to enjoy a good health status
Spirituality - to have a strong sense of purpose/belief in what is important to you
Yes, in my view if we eliminate the money from equation than wealth is all those other things we would do with our lives!