My experience over the past couple of years is the reverse. Routine service of the Accent cost me more than the Civic. Reason - basic charges are about the same, but Hyundai have a habit of adding things like Injector Cleaning, this spray, that spray, and so on. Also, Honda spares are not that expensive.
Now I am about to get rid of my Santro AT for a Brio AT. That should say a lot. Also, Honda will do at least 1-2 kpl better than the equivalent Hyundai product. When I bought my Accent the other option was City 1.3 (1.5 was too expensive) but I went Hyundai basically since Honda did not have a dealership in Kanpur.