I don't think it's fair to say that Paizo are punishing customers. They are having serious problems, but there are limits on what they can do to fix them.
The limits on extra work they can demand from the warehouse staff are probably quite tight. This is true for ethical reasons (it doesn't take much harm to the staff to outweigh "people get their game books later than hoped") and probably for contractual ones as well (Paizo is unionized now).
Hiring new staff would probably just make this problem worse. They wouldn't be able to contribute soon enough to make a difference, and people who could help would be busy with the hiring and training process. I'm sure they are looking at this as part of "make sure it doesn't happen again", though.
We don't know what the other problems are, but, again, they can't do anything other than try to fix them as quickly as possible. For systemic problems, that may mean working around them now and applying a proper fix once the crisis has passed.
Paizo is going to have deal with the reputational damage to the subscription program from this, and the top management may well be thinking about that already, but the first priority for the front line should be to minimise that damage by getting everything shipped as soon as possible
Given what I know of Paizo, I am sure they are not deliberately holding up our orders for the lulz. The company is not actually run by (PF1) goblins.
I expect this to be more stressful and unpleasant for the staff than for us. I hope they do get everything solved soon.