I think you just proved my point; I don't see any way you could have described that situation any better in person than you just did in writing, so wanting a human can't be a communication issue. Unless, of course, what you really want is s "human" to chew on.
Actually, I can't remember the last time I had to wait even 12 hours for a response to a technical support inquiry/trouble report. I think Mark might well be on to something with his response. Not only does asking the "right" questions encourage a timely response, but the manner in which you ask the question/make the trouble report can impact how anxious a "human" might be to deal with you. It is also possible that the ticket got mislaid or lost - I would have submitted a follow up if I did not hear back within 24 hours.
If the tone of your technical support contact was anything at all like the patronizing and antagonistic tone of your post here, I'm not surprised that other tickets might get attention before yours. I can just see the "humans" that work in the support center fighting over which one gets to deal with you, so they can hear you tell them how "silly" the form is and then wonder at which point you are going to deem them to be "less than human".
Your explanation as to why you need to "speak to a human" is lame as it is related to the issue you are having trouble with; again you've failed to show that you could have communicated the issue any more effectively in person. On the other hand, if you are frustrated that you don't have a human to abuse, then I can see why you are unhappy.
It's a moot point anyway because, as has been pointed out, short of requesting a call-back if your plan supports it, there is no telephonic contact with "humans" at Dreamhost, and they have never hidden that fact. It is what it is; you need to pay extra for the ability to talk personally with a "human" at DH.