I generally find my points at North American properties post quickly. Just make sure all the right numbers are printed at the bottom of your bill before you check out. If there has been any "problem" with their computer system, it is that it records C$ at the same rate as US$, so I am getting more 30% points than I expect.
When I did have a problem last summer with some European promo bonuses being credited properly, I emailed and within a day had a courteous reply leading to a quick resolution of the matter.
And while I did have minor problems updating certain airline partner information using the web, it was resolved quickly.
Where problems really exist is on the booking pages, where the newer Stikis European hotels require a phone call follow-up. Did have problems getting onto the site to make bookings over the weekend, though.
Always found/find HHonors service centre staff to be among the most helpful and efficient, particularly back in the days when you had to pay for the phone call...!