What an idiotic opinion. I need to know within +/- 10 minutes when my round is starting, so I can manage my time appropriately for the other responsibilities I have.
I've got two young kids at home, my wife and I both work, our house is a fixer upper so there are countless projects that require my time, plus maybe I want to watch a football game, or make dinner for the family, or do laundry, or see a movie.
Without tee times, I might be able to golf once a month, but likely not at all. Playing 4+ hour rounds is difficult enough without the added uncertainty of not knowing exactly when I might tee off.
Here's the rule:
You can remove the obstruction. It doesn't say you have to wait until its your turn, it says you can remove it. That's Rule 15.2a. The flagstick is specifically listed as obstruction in the definition of obstruction.