HW6-6: Initial state ignored

I disagree with the reasoning professor Thrun gives as to why is the initial state not ignored. If we initialize the particle(s) in a filter uniformly to cover the state space (as shown in the 1d robot localization example), how are we not ignoring the known initial state of the robot?

I do agree that we could by chance place the particle at the known initial state of the robot, but this could also happen if we don't know the initial pose, thus I would argue that the initial state is ignored.

Let me know what you guys think.