"I seem to remember that Erik once mentioned, in a similar discussion, that the time alloted for a problem is based on the average solution time for that problem."
That's interesting. In checking a few problems, it looks like indeed the allotted time is 2x the "Avg. Time" stated in the statistic for the puzzle. So the midpoint of the allotted time is = statistical average time. That would explain why the time seems short for me. I know generally that I'm a clear thinker but slower than average on the uptake ;).
It's not just sacing the queen that's illogical, it's making any move at the end of the timing window. Once the timer gets low, you could make a move immediately and get 21-25% or you could take as long as you want, double check everything, and get 20%.
This is especially true if the solution is going to be more than 1 move long. If you make the first move at 25%, you probably won't finish the line before it's down to 20% anyhow. So it's logical at this point to just take your time, double check your analysis, and make the right move and get your 20% rather than rush at the end of the time control and get 0.
I've seen the "I make a move at the end just to beat the timer" idea from a number of people and it's just a misunderstanding of how the timer works.