This might not be the best way to look at it, but I ignore any home equity for any sort of calculations, until the place gets sold. Then I think of it more like a windfall, sort of like an inheritance.
For instance, right now, I might have about $400-500K in home equity, if Redfin/Zillow are to be believed. But I can't really do anything with that money, without adding to my bills. If I borrow against it, I now have an added monthly payment. And if I sell the house, well, I have to go buy something else. So if I want to downsize at some point in the future, it's definitely something to think about.
I also don't plan on moving anytime soon, and in a perfect world I'd like to stay in this house until I die. So in that sense, the home equity is meaningless.
If you have a paid off house, you don't have the added monthly expense of rent or a mortgage. But, I look at the advantage of a paid off house as the fact that you don't have the monthly expense of rent or a mortgage. The equity really isn't doing anything for you.
And, in the true sense of NW, if you pull out that equity, it doesn't change your NW, because while you might now have that equity turned into money, you also have an equal amount of new debt.
Of course, you can always use equity as leverage to invest, buy other properties, etc, so it definitely has value, and I can see why some people count it as their NW. I just choose not to.
F
WIW, whenever we have these types of discussions, I try to use the phrase "invested assets" or something like that, to differentiate from NW which would include equity. But, sometimes I'll still slip up and say NW, anyway.