You are partially right. When I watched the 13 episodes of Hellsing, I loved every episode except some of the first ones who are like "Victoria will drink blood/won't drink/will drink/won't/will" etc
After a couple of years I happened to read the manga and learned that an OVA was being made which goes more by the manga. I have only watched the first OVA, and heard critics about the second. To me they are so much greater than the 13 episode series.
Now DMC anime, is from what we can see a completely new storyline. Dante battling some worthless devils will be ok for starters but I wonder who will play the role of the tough villain. I don't want something "ugly" like Incognito in Hellsing (he sucked, he was naked and his weapon was uncool
). And Anderson was too weak in the Hellsing episodes, completely different from the truth. But let's not be pessimistic, the trailers are ok until now