Both The Prof and I support a reduction to the minimum length of time slots. I am certainly not all knowing, but this is an area where I have specialized knowledge because I have a degree in Statistics. The Prof has Master's in the subject and has taught statistics for over a decade. Hopefully, our recommendations will sway you to vote for eliminating/reducing minimum STRs.
Here is a somewhat rigorous example detailing my logic for this proposal.
Assume that a player sleeps for 8 hours, then is available to play Stratego for 8 hours and then works for 8 hours with no gaps in between. This roughly mirrors a typical players' schedule and makes calculations easy. Consider what happens if the player cannot play in the first hour proposed. Case 1 represents two hour slots and Case 2 represents 2 independent slots of an hour each.
Using probability axioms and logic, we can work out that Case 2 is 51 percent more likely to result in an arrangement:
The actual percent is probably a little different given some of my simplifications but Case 2 is always more likely to result in an arrangement. Extending this, you could actually eliminate the minimum slot requirement all together and mandate that each player provides 6 total hours of availability. This would give even higher probabilities of finding a start time.
For a less technical proof, TheO had a really good analogy: Case 1 can be thought of as one big interval, while Case 2 is two smaller but separate intervals. Therefore, you are more likely to find a start time in the more spread out intervals (case 2).
I am happy to answer any questions.
You're mom likes my grammar.