You have created seven support tickets in the space of eleven numbers. And there was about 40minutes between your forum post and the edit, at 9/10pm on a Saturday. I am not sure why you expect sending so many tickets will mean they are dealt with any quicker! I can reassure you that DH is a real company and as LakeRat says honours its money back guarantee.
The 24/7 support I think is not for everything, but managing technical problems with servers. DreamHost's web site when selecting 'Sales' does show its support as:
Ultimately your frustration is based on a perception of poor customer service.
The text on the Contact page which says Sales & Support, at your service. 24/7 in-house support, here when you need us. is confusing and misleading. I don't know DreamHost's customer base, but as a non-American, I have no clue what PST is, so showing times in GMT would be good as it is pretty universally recognised.
The published hours for Sales Department on the Contact page would also suggest DreamHost decided the weekend cover wasn't worth the cost ($£€); but the increase in threads about account pending issues may suggest sometimes you cannot properly place a monetary value on reputation and first impressions.
In addition DH should inform customers of realistic time frames for manual approvals, which should be shown on the signup process and emailed, e.g. our Office reopens in 7 hours and you are 27th in the queue, we expect to have dealt with your account in 9hours.
Similarly ideally all support tickets in any autoresponse should give position in queue/expected timeframe for being dealt with.