Fwiw, my sister and I oversaw the care of our parent a couple years ago, during his Alzheimer's phase. He spent a little over 2 years in assisted living, interspersed with a few weeks in a nursing home (a rehab center).
We shopped for the best place available in a large low cost city. The care wasn't perfect and we learned to visit frequently. Build your support network - your care will be better if someone looks in on you, which they won't do unless they really care. For most forum members, the social support will make more difference than whether you save yet another $100,000.
I think the cost in most cases will be less than is feared by the posters who have amounts like $1.4M for their living expenses but want to save more to account for long term care. Remember, you're probably not going to be in a nursing home for 30 years, so you can have a higher withdrawal rate. Even if you budget for 10 years, which is 4 or 5 times longer than the average stay, you can safely afford an 8% or more withdrawal rate plus any Social Security.
From what I can tell, the normal case is a couple years in assisted living, not nursing care; true nursing home stays are most often weeks or months, not years. For example, my dad's care cost $3200 to $4500 per month for assisted living (a little over 2 years, just a little over $100k total). Nursing homes cost maybe twice as much, but his was paid for by Medicare because it's medical expense covered by Medicare. If you pay for 4 years of assisted living at $5k/month, plus 2 years out of pocket for nursing home care at $10k/month even though Medicare could pay much or all if you're over 65 and nursing home stays are typically months, you'd be looking at $480k expenses total. That's about 4 times as much as what we paid.
Again, we looked for the best care we could find. I don't disbelieve the posters who actually spend more, but on a frugality forum, I have to say that care exists and doesn't have to cost millions. Even the in home vs care facility discussion by the posters above shows that there options. Usually when you get so sick you can't take care of yourself, the end is near. Don't waste the good years of your life dreading an expense that will never come.
In my mind, your FIRE stash takes care of your expenses until you reach your final years. Whenever your body enters its final years, you spend down the stash. The amount sufficient for one is likely to be sufficient for the other. I won't lie, I am getting a small modest long term care insurance policy to supplement the stash - and to reassure family members. Its stated payout is only a fraction of my stash, which is about 450k. I am highly likely to get decent care if my $ is reasonably well administrated. There is still a 1% chance of compromises needing to be made but it's not worth several years of my best time to earn a 0.5% chance of improving the last year of my life.
Again, I do take care to maintain friendships as well as family relationships so that more than one person cares about me enough to administrate the money and superintend to the care. Live your life and build your relationships. They make more difference than your second million.