It has been thought about and debated many times over the years.
The couple of main points that we haven't
-Getting the coding right again. When we have tried to make time adjustments in the past, it goes all crazy. The original coder is no longer with us and able to help out
-Ya'll hate change around here

We would have tons of people missing the deadline. My inbox would be flooded
-The people who tend to wait are the ones who forget and end up missing a deadline, then messaging me to try to get back in. Short of the occasional DNQ by a big name, I'm not sure that qualifying changes that many people's picks
With all that said, If there is enough interest, and it would need to be overwhelming. I have no issue trying it for next year. I actually favor making picks before qualifying. Just know that it would likely come with some bumps along the way