This topic is confusing. Words have meanings. In this case Net Worth is a term of art with a defined meaning: Net worth is the total assets minus total outside liabilities of an individual or a company. Net worth is used when talking about the value of a company or in personal finance for an individual's net economic position. Put another way, net worth is what is owned minus what is owed.
If you want to talk about something else, then use the right words to describe it. To say your net worth includes this but not that is just making things up. Your net worth is exactly what the definition of the word says it is and nothing else!
I'll also note that some financial terms have a wide range of meanings. For example, the OP could have used the word "economic wealth" instead of "net worth" and we would have avoided a lot of the clutter in this thread. Specifically, in economics, wealth is often defined as the total of all assets of an economic unit that generate current income or have the potential to generate future income. It includes natural resources and human capital but generally excludes money and securities because they represent only claims to wealth. So in this thread a few have advocated exactly this type of accounting but insist on calling it net worth when the concepts are quite different.
Pedantics aside, the only measure that matters is the measure that determines if you can/will/should take a specific course of action. It might be free cash flow, projected net income, net worth, economic wealth, or something else entirely. Therefore, I think asking whether to include or exclude something in a net worth, or any other type of calulation, is only relevant in the context of why you are asking.