You're analogy isn't paralleled by reality. In a real analogy it would look like this, from my perspective.
I own 5 beautiful cows, but the government says I can only keep one. There are other people that may already own a cow (but it's sort of an undesirable cow, may not produce enough good milk), so they want a better one. There are other people that are without any cows, but certainly are surviving. Maybe these people weren't ready for a cow, or they'll find that they prefer chickens or lambs. Or, maybe they just were unlucky and are in the unfortunate position of having to wait in line for the leftover cows.
The government says that I have until May 15th to give up all but one cow. If I give them up earlier, it's very unlikely that the government will re-distribute the cows until after May 15th. So, by giving up the cows earlier, I do not increase the speed at which my fellow man will get a new cow...rather, just to let the bureaucratic government have more time to organize it's cow releasing program. Assuming I'm wiffle-waffling between which is the best cow to keep, what's the incentive to give a cow up early if I know it won't significantly expedite the delivery of that cow to a new owner, but rather just have it sit in storage for an extra week or two. Might as well take my time and debate which cow I'm going to choose as long as possible. I'd rather it be on my farm in my control, than sitting useless in a warehouse owned by big government until May 15th rolls around. To be honest, these are my cows that I earned through hard work. I should be given as much time as I want to choose which one is my #1.
Believe me, people withdrawing now or May 14th is going to have little to no effect on you. It may delay your waitlist offer by at most a few days. But realistically, you probably weren't going to find out before then anyway.