I think you are getting excellent advice.
The basement shelves are also where my squash find a home and I'll second the vote for good air circulation.
Allowing the squash to fully mature is important and something I have trouble with. There are probably issues of greater concern in warmer parts of the world.
I just became aware of this 50F "risk of low temperature injury." I bet it is true and something to balance this notion of "frost on the pumpkin" idea. Not safe, bring 'em in before.
However, I just went back and looked at last year's growing season temps. The first morning with a temperature below 50 was August 14. This year, the last time it was below 50 was July 14 (July 8 in 'o9). Anyway, I've got a month when overnight temperatures stay above 50.
So, I've got a month . . . I can see that it isn't just reaching maturity that is difficult for the squash.
There is always squash for Thanksgiving "pumpkin" pie but I'd better get them used up before New Years Day. Altho' one year, I had one that stayed good until March.
The Burgess buttercup has always been the best for me. I'm trying a Kabocha again this year. Despite its obvious similarity to buttercup, it hasn't worked for me in the past. We will see how Cha Cha does this time around.
We need research on good storage squash for cool growing seasons (he says, while facing another 90+ afternoon

). Okay, growing seasons with cool mornings . . .
Steve