So it's really not that much, most people who get private or state pensions get a better deal than that from a cash-flow perspective.
Again, quite possibly I'll die much younger without even enjoying any of that freedom :-)
Edit: sorry for the ninja edit. I read your comment too quickly.
1) If you keep it under your mattress it will be much less than what I described, because every year your nest egg will shrink due to inflation, so you'll just be able to take $25k non-inflation adjusted, which is a big difference from my $25k inflation adjusted (in 60 years, $25k will be $150k at a 3% inflation). My assumption is 0% real growth, not 0% nominal growth, which is what you'd get by keeping it under the mattress.
2) The 4% rule is based on a shorter retirement interval (30 years) than what I'm looking for (60 years). Try to go on firecalc.com and look for the statistical odds of 1M giving you 50k/y for 60 years: the failure rate is higher than the success rate, and that's based on historical data.
3) Yes, my assumptions are very conservative, but I don't believe index funds will return 7% nominal over the next few decades, the world is going to face too many problems in my opinion. That being said, pretty much all I have is invested in index funds despite my opinions (mainly because I wouldn't know where else to invest it, since both cash and bonds are sure losers to inflation), so in the best case I'll be pleasantly surprised.