“You mean I should just pack up my bags, leave the property, and throw away the legal protections that I am entitled to as a citizen of my own state — just so all these other entities can save themselves the trouble of unraveling their own financial chaos?”
You left out a key point - if in the above scenario you have failed to pay your mortgage, then the answer is “yes” - because you are definitely not the owner.
That's a lot of baloney -- because even if I am not the "owner" of the property, I still may have rights to recompense, financial remuneration, etc. depending on the disposition of the property by the "real" owner. If I default on a mortgage with an outstanding balance of $30,000 and the property is worth ten times that amount, then who is actually the owner of the property and what rights do I have as a so-called "squatter?"