If you look at the big "net worth" picture, it's how you want to apportion your wealth. Putting most of it in your house can leave you cash-poor. When the chips are down, cash flow -either from wage income or drawing from investment principal/returns- is king. If you still have a significant balance due on a mortgage but have access to a bunch of cash, you will always have a roof over your head.
Quite true. I wouldn't advocate paying off the house without having a significant portion of your wealth in more liquid assets or at least generating cash flow. However, as someone mentioned, setting up a home-equity line of credit can provide a quick-response emergency fund if you will have the cash flow to service it. Some years ago, I had a HELOC in place for $100k, variable at 0.5% below prime, as a "just-in-case" means of writing a big check if I had to. Never used it, and we've long since closed it out.
You can own the house "free and clear" but you still have taxes (which are easily a thousand a month in many places), insurance, and maintenance to cover. If you don't pay the taxes, you're out on your ass (no one "owns" their property, they only have a deed "granted" by the Government.)
Yes, but that's not universal; depends on your local tax situation. Also, there may be some tax mitigation depending on where you live. Here in Florida, for example, we have a cap under our state constitution. Amendment 10 was approved by Florida voters in 1992 as a result of a citizen's initiative. Basically, it limits, or caps the annual increase in assessed value of property that has a homestead exemption. This prevents the tax from rapidly going out of sight as long as you own your home. You can get reamed if you sell your place and buy something new, but as long as you sit tight the tax increase is limited.
I think a lot of the "no debt" paradigm goes back to Depression ethics and is stoked by scolds like Ramsey and Orman (who, incidentally, make a fortune playing to the people with no financial chops or self control.)
Ramsey basically advocates Jedi mind tricks for the mathematically impaired.
For those folks, his methods are helpful.
Where I disagree with Ramsey is his preference for 15 year mortgages. We financed our place for 30 years, but paid it off in 12, which resulted in paying much less interest than a 15-year would have required. The other nice thing was, our monthly obligation was a much smaller payment than we were actually making, and we could fall back to the smaller number when necessary. For example, when we had a lightning strike and had to replace our well pump and re-pipe the house, we dropped back to the 30-year payment for a couple of months and covered the repairs. Then we jumped right back up to the larger payment.
For me, at least, flexibility is important. I'm more comfortable when I have options immediately available to handle what life throws at me.