I just want to make it clear that this is a choice you're afforded because of the value of your home.
You (quite literally) have a million-dollar offer on the table to move to, say, Austin, TX (or dozens of other great cities). The fact that you choose not to accept that offer does not negate the existence of the offer. The offer is always there. And this is a very real asset that you have (that, I hope it's clear, most people don't have), whether you choose to acknowledge it or not.
I'm sorry, but no. If you have a million-dollar gold statue of a pig that you're unwilling to sell, your unwillingness doesn't even enter into it. You still have the million-dollar statue and it's still worth a million dollars. It doesn't matter what rationale you provide for not selling it. It just doesn't matter. Those reasons seem important to you. But they aren't important in assessing the value of the statue.
You (quite literally) have a million-dollar offer on the table to move to, say, Austin, TX (or dozens of other great cities). The fact that you choose not to accept that offer does not negate the existence of the offer. The offer is always there. And this is a very real asset that you have (that, I hope it's clear, most people don't have), whether you choose to acknowledge it or not.