It can be a serious issue involving second relationships including mine.
OH is a widower with 3 daughters, a large extended family, and considerable property, within a few weeks of us dating he made it clear that marriage was not an option. Everyone knows what the relationship is and have accepted me without reservation, not as his wife’s replacement but as dads companion. With no worries about me stealing their inheritance.
The main attraction is that I am valued as a partner and we have many joint interests and similar values. Every relationship different and in many cases it is the woman who has the wealth, whatever it is make sure you are getting a good deal out of living together.